class: center, middle, inverse, title-slide .title[ # Lecture 9: Synthetic Control Methods, Part 2 ] .author[ ### James Sears*
AFRE 891 SS 24
Michigan State University ] .date[ ### .small[
*Parts of these slides are adapted from
“Causal Inference for the Brave and True”
by Matheus Facure Alves.] ] --- <style type="text/css"> # CSS for including pauses in printed PDF output (see bottom of lecture) @media print { .has-continuation { display: block !important; } } .remark-code-line { font-size: 95%; } .small { font-size: 75%; } .scroll-output-full { height: 90%; overflow-y: scroll; } .scroll-output-75 { height: 75%; overflow-y: scroll; } </style> # Table of Contents 1. [Prologue](#prologue) 2. [Synthetic Difference-in-Difference](#synthdid) 3. [Partially Pooled SCM](#pool) --- class: inverse, middle name: prologue # Prologue --- # Prologue .pull-left[ .center.hi-purple[Part 1] * Matching * Canonical Synthetic Control ] .pull-right[ .center.hi-pink[Part 2] * Synthetic Diff-in-Diff * Uniform Adoption * Staggered Adoption * Partially Pooled Synthetic Control ] --- # Prologue Packages we'll use today: ```r # If not installed, add in packages from GitHub not on CRAN if (!require("augsynth")) remotes::install_github("ebenmichael/augsynth") ``` ```r if (!require("pacman")) install.packages("pacman") pacman::p_load(augsynth, fixest, gsynth, synthdid, tidyverse) ``` -- As well, let's load the event study data from [Sears et al. (2023)](https://doi.org/10.1086/721705) we finished last lecture with (plus some covariates) ```r sah <- readRDS("data/sah_covar.rds") ``` --- # Prologue Last time we talked through the canonical .hi-medgrn[Synthetic Control Method (SCM)] for comparative case studies. While it provides an avenue for overcoming violations of parallel trends, it is limited in several ways 1. Intended for a single treated aggregate unit ("comparative case studies") 1. Results primarily presented visually 1. Inference doesn't match our usual approaches -- What would be *great* is if there were ways of combining the matching benefits of SCM with the identification and structure of our typical econometric approaches... --- # Prologue Okay so I've already spoiled this: yes, there are methods that do this - and we're going to learn about them today. 1. Synthetic Difference-in-Differences: using a synthetic control unit as the counterfactual in a difference-in-differences 1. Partially Pooled Synthetic Control: same idea but for event study settings with dynamic treatment effects -- We refer to these two approaches as .hi-megrn[doubly-robust] estimators, in that you have two chances to be right: 1. In the matching design, or 2. In the regression specification --- class: inverse, middle name: synthdid # Synthetic Difference-in-Differences --- # Synthetic Difference-in-Differences [Synthetic Difference-in-Differences](https://www.aeaweb.org/articles?id=10.1257/aer.20190159) by Arkhangelsky et al. (2021) AER offers a solution to CIA violations in a typical difference-in-differences setting. -- .hi-medgrn[The gist:] 1. Re-weight and match pre-exposure trends by constructing a synthetic counterfactual * Reduces reliance on parallel trends 1. Estimate a treatment effect in a standard TWFE regression --- # Synthetic Difference-in-Differences .hi-blue[More formally:] Suppose you have .hi-green[balanced panel] with * `\(T\)` time periods * `\(N\)` units * First `\(N_{co}\)` units are never exposed to treatment (pure controls) * Next `\(N_{tr} = N - N_{co}\)` units receive treatment after time `\(T_{pre}\)` * Can be block adoption or staggered adoption -- You observe * The time-varying outcome `\(Y_{it}\)`, * A binary treatment indicator `\(W_{it}\)`, * and (optionally) time-varying covariates `\(X_{it}\)` i.e. same data requirements as a standard TWFE Diff-in-Diff approach --- # Synthetic Difference-in-Differences .hi-blue[The Concern:] even after conditioning on observables, CIA/parallel trends doesn't hold. -- .hi-medgrn[The Solution:] construct a synthetic control to use as the counterfactual in a Difference-in-Differences design. Like with SCM, the goal is to find weights `\(\hat\omega^{sdid}\)` so that the pre-treatment trends in the treated units' outcome align with the synthetic control's: `$$\underbrace{\sum\limits_{i=1}^{N_{co}} \hat\omega^{sdid} Y_{it}}_{Synthetic ~ Control}~~ \approx ~~\underbrace{\frac{1}{N_{tr}} \sum\limits_{i= N_{co}+1}^N Y_{it}}_{Treated}$$` --- # Synthetic Difference-in-Differences .hi-purple[Choosing Unit Weights:] ensure average outcome for treated unit(s) is roughly parallel to the synthetic counterfactual (i.e. weighted average of control units) -- Choose .hi-purple[unit weights] `\((\hat\omega_0, \hat\omega)\)` that yield the arg min of `$$\underbrace{\sum\limits_{t=1}^{T_{pre}}\left(\omega_0 + \sum\limits_{i=1}^{N_{co}} \omega_i Y_{it} - \frac{1}{N_{tr}} \sum\limits_{i= N_{co}+1}^N Y_{it} \right)^2}_{Sum~Squared~Error} + \underbrace{\zeta^2 T_{pre} ||\omega||^2_2}_{L_2~Regularization~Penalty}$$` --- # Synthetic Difference-in-Differences `$$\underbrace{\sum\limits_{t=1}^{T_{pre}}\left(\omega_0 + \sum\limits_{i=1}^{N_{co}} \omega_i Y_{it} - \frac{1}{N_{tr}} \sum\limits_{i= N_{co}+1}^N Y_{it} \right)^2}_{Sum~Squared~Error} + \underbrace{\zeta^2 T_{pre} ||\omega||^2_2}_{L_2~Regularization~Penalty}$$` * Intercept term `\(\omega_0\)` allows synthetic control to match on pre-trends * Unit FE `\(\alpha_i\)` in regression step get rid of level differences * Penalty term helps non-zero weights be more distributed across control units * If `\(\zeta=0\)`, weights are identical to Abadie, Diamond, and Hainmueller (2010) SCM weights for a single treated unit * `\(\zeta\)` is *complicated*, see the paper if you want more details * `\(L_2\)`/Euclidean norm as in ridge regression (we'll chat more about this in ML lecture) --- # Synthetic Difference-in-Differences .hi-medgrn[Choosing Time Weights:] ensure pre and post-treatment periods are balanced for control units Choose .hi-medgrn[time weights] `\((\hat\lambda_0, \hat\lambda)\)` that yield arg min of `$$\sum\limits_{i=1}^{N_{co}}\left(\underbrace{\lambda_0 + \sum\limits_{t=1}^{T_{pre}} \hat\lambda_t Y_{it}}_{Weighted~Average\\~in~Pre-Period} ~~-~~ \underbrace{\frac{1}{T_{post}} \sum\limits_{t= T_{pre}+1}^T Y_{it}}_{Average~in\\Post-Period} \right)^2$$` * No regularization in time weights * Allows for correlation over time for same unit, but not across units (beyond the systematic component in a latent factor model) --- # Synthetic Difference-in-Differences Once unit and time weights (and `\(\zeta\)`) are obtained, estimate `\(\hat\tau^{sdid}\)` as arg min of `$$\sum\limits_{i=1}^N\sum\limits_{t=1}^T (Y_{it} - \mu - \alpha_i - \beta_t - W_{it} \tau)^2\hat\omega_i^{sdid}\hat\lambda_t^{sdid}$$` -- <br> Note that without weights, this is just the TWFE Diff-in-Diff solution: `$$\sum\limits_{i=1}^N\sum\limits_{t=1}^T (Y_{it} - \mu - \alpha_i - \beta_t - W_{it} \tau)^2$$` --- # Synthetic Diff-in-Diff Application Now that we know how it's working, let's try it out by looking at the impact of California's Proposition 99, which introduced a 25 cent tax per pack of cigarettes. ```r data(california_prop99) ``` --- # Synthetic Diff-in-Diff Application We *could* evaluate the impact of Prop 99 on cigarette sales per capita using a typical TWFE Diff-in-Diff: ```r did <- feols(PacksPerCapita ~ treated | State + Year, data = california_prop99, cluster = ~ State) summary(did) ``` ``` ## OLS estimation, Dep. Var.: PacksPerCapita ## Observations: 1,209 ## Fixed-effects: State: 39, Year: 31 ## Standard-errors: Clustered (State) ## Estimate Std. Error t value Pr(>|t|) ## treated -27.3491 2.80238 -9.75925 6.6913e-12 *** ## --- ## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## RMSE: 11.5 Adj. R2: 0.870229 ## Within R2: 0.032671 ``` --- # Synthetic Diff-in-Diff Application Looking at parallel trends: .font70[ ```r mutate(california_prop99, state_ca = ifelse(State == "California", "California", "Pure Controls")) %>% group_by(state_ca, Year) %>% summarise(PacksPerCapita = mean(PacksPerCapita)) %>% filter(Year < 1989) %>% ggplot() + geom_line(aes(x = Year, y = PacksPerCapita, linetype = state_ca)) + theme_minimal() ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-7-1.png" width="60%" style="display: block; margin: auto;" /> ] --- # Synthetic Diff-in-Diff Application Let's use the .hi-slate[synthdid] package to estimate a diff-in-diff using a synthetic California as the counterfactual. First, we'll need to do some se the `panel.matrices()` function to set up the data * Balanced panel (have) * Simultaneous adoption (have mechanically) ```r synth_ca_prep <- panel.matrices( panel = as.data.frame(california_prop99), # the dataframe unit = "State", # unit column (name or column #) time = 2, # time column (name or column #) outcome = 3, # outcome var (name or column #) treatment = "treated", # treatment var (name or column #) treated.last = TRUE # sort treated units to be at bottom ) ``` --- # Synthetic Diff-in-Diff Application Now compute the synthetic Diff-in-Diff estimate with `synthdid_estimate()`: ```r sdid <- synthdid_estimate(Y = synth_ca_prep$Y, # outcome var N0 = synth_ca_prep$N0, # number of control units (N_co) T0 = synth_ca_prep$T0 # number of pre-treatment periods (T_pre) ) sdid ``` ``` ## synthdid: -15.604 +- NA. Effective N0/N0 = 16.4/38~0.4. Effective T0/T0 = 2.8/19~0.1. N1,T1 = 1,12. ``` Which yields a much smaller treatment effect estimate than the Diff-in-Diff. --- # Synthetic Diff-in-Diff Application Looking at control unit weights `\(\omega\)`: ```r synthdid_controls(sdid) ``` ``` ## estimate 1 ## Nevada 0.12448923 ## New Hampshire 0.10504758 ## Connecticut 0.07828729 ## Delaware 0.07036812 ## Colorado 0.05751279 ## Illinois 0.05338782 ## Nebraska 0.04785319 ## Montana 0.04513521 ## Utah 0.04151766 ## New Mexico 0.04056827 ## Minnesota 0.03949464 ## Wisconsin 0.03666708 ## West Virginia 0.03356911 ## North Carolina 0.03280518 ## Idaho 0.03146821 ## Ohio 0.03146077 ## Maine 0.02821102 ## Iowa 0.02593863 ``` --- # Synthetic Diff-in-Diff Application Plotting the control unit weights `\(\omega\)`: ```r synthdid_units_plot(sdid) ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-11-1.png" width="80%" style="display: block; margin: auto;" /> --- # Synthetic Diff-in-Diff Application And the time weights `\(\lambda\)` ```r summary(sdid)$periods ``` ``` ## estimate 1 ## 1988 0.427 ## 1986 0.366 ## 1987 0.206 ``` --- # Synthetic Diff-in-Diff Application Note that with only one treated unit we can only use the (untrustworthy) `placebo` method to get standard errors, by calling `vcov()` on our `synthdid_estimate` object: ```r se <- sqrt(vcov(sdid, method='placebo')) sprintf('95%% CI (%1.2f, %1.2f)', sdid - 1.96 * se, sdid + 1.96 * se) ``` ``` ## [1] "95% CI (-33.85, 2.64)" ``` --- # Synthetic Diff-in-Diff Application We can look at pre-treatment parallel trends by overlaying the two series: ```r synthdid_plot(sdid, overlay = 1) ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-14-1.png" width="65%" style="display: block; margin: auto;" /> --- # Synthetic Diff-in-Diff Application The built-in `synthdid` plot (a `ggplot` object) displays a lot of information by default. * Point and line segments for simple 2x2 Diff-in-Diff comparison * Time period weights (bottom red line) * Customizable further with `theme()` and [other adjustments](https://synth-inference.github.io/synthdid/articles/more-plotting.html) --- # Synthetic Diff-in-Diff Application The built-in `synthdid` plot (a `ggplot` object) displays a lot of information by default. ```r synthdid_plot(sdid) ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-15-1.png" width="65%" style="display: block; margin: auto;" /> --- # Synthetic Diff-in-Diff Application Comparing to canonical SCM and Diff-in-Diff reveals the differences well: ```r est_sc <- sc_estimate(Y = synth_ca_prep$Y, N0 = synth_ca_prep$N0, T0 = synth_ca_prep$T0) est_did <- did_estimate(Y = synth_ca_prep$Y, N0 = synth_ca_prep$N0, T0 = synth_ca_prep$T0) estimates <- list(est_did, est_sc, sdid) names(estimates) = c('Diff-in-Diff', 'Synthetic Control', 'Synthetic Diff-in-Diff') print(unlist(estimates)) ``` ``` ## Diff-in-Diff Synthetic Control Synthetic Diff-in-Diff ## -27.34911 -19.61966 -15.60383 ``` --- # Synthetic Diff-in-Diff Application Comparing to canonical SCM and Diff-in-Diff reveals the differences well: ```r synthdid_plot(estimates, se.method='placebo') ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-17-1.png" width="80%" style="display: block; margin: auto;" /> --- # Staggered Adoption The methods in .hi-slate[synthdid] easily extend to * Controlling for covariates in the second step regression * Cases of more than one unit .hi-belu[adopting simultaneously]. -- One current limitation is lack of direct support for .hi-medgrn[staggered adoption] -- Until they add native support, you can use the .hi-slate[Ssynthdid] package ```r # install.remotes("remotes") remotes::install_github("tjhon/ssynthdid") ``` --- class: inverse, middle name: pool # Partially Pooled Synthetic Control --- # Partially Pooled Synthetic Control An alternate but related estimator is the .hi-medgrn[partially pooled synthetic control method (PPSCM)] of [Ben-Michael, Feller, and Rothstein (2021)](https://rss.onlinelibrary.wiley.com/doi/10.1111/rssb.12448) .hi-blue[The gist:] * Extend canonical SCM to the many-treated unit and staggered adoption case * Incorporate unit-level intercepts and balancing on covariates * Equivalent to balancing on residualized unit-level outcomes * Estimate dynamic treatment effects * Obtain standard errors through bootstrapping/jackknifing --- # Partially Pooled Synthetic Control .hi-blue[More formally:] Suppose you have a panel with * `\(T\)` time periods * `\(N\)` units * Some units `\(j=1...,J\)` receive treatment, potentially at different times `\(T_i\)` * Non-zero number of pure controls `\(N_0\)` with `\(T_i = \infty\)` * Can be block adoption or staggered adoption -- You observe * The time-varying outcome `\(Y_{it}\)`, * A binary treatment indicator `\(W_{it}\)`, * and (optionally) time-varying covariates `\(X_{it}\)` --- # Partially Pooled Synthetic Control .hi-blue[Assumptions:] * Stable treatment and no interference across units (SUTVA) * Prior to treatment, a unit's potential outcomes are equal to its never-treated potential outcomes * .hi-green[No Anticipation:] `$$Y_{it}(s) = Y_{it}(\infty) \text{ for } t<s, \text{ with treatment time } s$$` --- # Partially Pooled Synthetic Control .hi-blue[Assumptions:] * All treated units are observed for at least several pre-periods and several post-periods * Needed to ensure sufficient identification in unbalanced event time -- * Can express the data generating process as following 1. Following a time-varying `\(AR(L)\)` process: `\(Y_{it}(\infty) = \sum\limits_{\ell = 1}^L \rho_{t\ell}Y_{it-\ell}(\infty) + \epsilon_{it}\)`, or * Rules out correlation between treatment timing and noise terms for any period 1. Composed of time-varying latent factors and time-invariant unit loadings: `\(Y_{it}(\infty) = \phi_i \cdot \mu_t + \epsilon_{it}\)` * Rules out correlation between treatment timing and noise terms *after* treatment 1. Noise term `\(\epsilon_{it}\)` are sub-Gaussian random variables * Restricts tails to ensure finite sample error bounds --- # Partially Pooled Synthetic Control If we want to extend canonical SCM to the .hi-blue[many-treated] case, we could take one of two approaches. .hi-medgrn[1\. Separate SCM:] estimate a separate SCM for each treated unit * i.e. minimize pre-treatment imbalance for each treated unit separately * Can lead to poor mean fit, biasing the ATE -- .hi-purple[2\. Pooled SCM:] estimate one SCM for average of treated units * i.e. minimize the average pre-treatment imbalance across all treated units * Can achieve strong average fit but obtain poor unit-specific treatment effects -- .hi-green[The Solution:] "pool" the two estimators, improving on each approach in isolation --- # Partially Pooled Synthetic Control Choose SCM weights to minimize the weighted average of the pooled and unit-specific pre-treatment balance: `$$\min\limits_{\Gamma \in \Delta^{scm}}~~ \nu(\underbrace{\tilde{q}^{pool}(\Gamma))^2}_{\text{Normalized}\\\text{pooled}\\\text{imbalance}} + (1-\nu)(\underbrace{\tilde{q}^{sep}(\Gamma))^2}_{\text{Normalized}\\\text{separate}\\\text{imbalance}} + \underbrace{\lambda||\Gamma||^2_F}_{\text{penalize sum of}\\\text{squared weights}}$$` * `\(\hat q^{sep},~ \hat q^{pool}\)` the (normalized) root mean square of separate and pooled pre-treatment fit * `\(\lambda||\Gamma||^2_F\)` a penalty term (as in SCM) * `\(\nu\)` the hyperparameter determining the degree of "partial pooling" * `\(\nu = 0 \Rightarrow \text{Separate SCM}\)` * `\(\nu = 1 \Rightarrow \text{Pooled SCM}\)` * `\(0 < \nu < 1 \Rightarrow \text{Partially-Pooled SCM}\)` --- # Partially Pooled Synthetic Control So, what `\(\nu\)` should we use? -- Turns out the relationship between pooled and separate imbalance is .hi-green[highly convex], with even slight interior `\(\nu\)` offering large improvements. .center[ <img src = "images/imbal.png" width = "480" \img> ] --- # Partially Pooled Synthetic Control So, what `\(\nu\)` should we use? In my experience, overall ATEs are highly similar across the space of `\(\nu\)` .center[ <img src = "images/fullnu.png" width = "550" \img> ] --- # PPSCM Application So how does it actually work? Let's use the .hi-slate[augsynth] package and use PPSCM to revisit mobility responses to stay-at-home mandates. -- Recall the setup: * States adopted stay-at-home mandates on different days (staggered adoption) * Observe many pre-period dates (Feb 24 to Mar 19) * Observe many post-adoption dates (# varies by state, from 22 to 42) --- # PPSCM Application One advantage to PPSCM is less data prep - we can jump directly to estimation with `augsynth()` .center[ `augsynth(y ~ treat | weighting covars | approx match covars | exact match covars, unit, time, data, n_leads, n_lags)` ] .font90[ * `formula` requires just `\(Y_{it}\)` and `\(W_{it}\)` * Optional weighting covariates, approximate/exact matching covariates * `unit/time` the names of unit and time variables * can be text, numeric, or dates * Don't need manual event time * `data` the dataframe * `n_leads/n_lags` the number of lead/lag event times to estimate * `n_lead` default: # post-treatment dates for last-treated unit (same as our binned event time before) * `n_lags` default: balance all periods] --- # PPSCM Application Estimating with default settings and storing the summary object * Most everything is hanging out in the `summary()` object ```r sah_ppscm <- multisynth(cadt ~ post_treat, state, date, data = sah, fixedeff = TRUE) sum_ppscm <- summary(sah_ppscm) ``` --- # PPSCM Application Looking at the output shows * Average ATT and standard error (across all time periods + treated units) * Imbalances and improvement over pooled/separate SCM .font90[ ```r sum_ppscm ``` ``` ## ## Call: ## multisynth(form = cadt ~ post_treat, unit = state, time = date, ## data = sah, fixedeff = TRUE) ## ## Average ATT Estimate (Std. Error): -6.585 (1.370) ## ## Global L2 Imbalance: 1.136 ## Scaled Global L2 Imbalance: 0.347 ## Percent improvement from uniform global weights: 65.3 ## ## Individual L2 Imbalance: 5.543 ## Scaled Individual L2 Imbalance: 0.701 ## Percent improvement from uniform individual weights: 29.9 ## ## Time Since Treatment Level Estimate Std.Error lower_bound upper_bound ## 0 Average -8.050414 1.915950 -11.803830 -4.5738291 ## 1 Average -8.808877 1.781759 -12.281656 -5.3351130 ## 2 Average -7.992208 1.550205 -11.071789 -4.9927348 ## 3 Average -7.424093 1.728269 -10.761129 -3.9748238 ## 4 Average -7.849963 1.941695 -11.548532 -4.3476287 ## 5 Average -7.225759 1.979080 -11.184829 -3.6738126 ## 6 Average -7.312214 1.884561 -11.192429 -3.9488931 ## 7 Average -8.393914 1.903430 -12.312245 -4.8571976 ## 8 Average -7.742748 1.685392 -11.378813 -4.5996062 ## 9 Average -5.803652 1.357979 -8.412066 -3.1729930 ## 10 Average -5.605129 1.389068 -8.406893 -2.8608149 ## 11 Average -6.061360 1.340292 -8.600420 -3.3951711 ## 12 Average -5.176553 1.569994 -8.272598 -2.0941980 ## 13 Average -5.563721 1.555814 -8.789126 -2.6265676 ## 14 Average -6.843104 1.509631 -9.984939 -3.9552330 ## 15 Average -7.051000 1.364663 -9.631444 -4.3977075 ## 16 Average -6.619539 1.376848 -9.157261 -3.7716313 ## 17 Average -5.975506 1.361058 -8.648732 -3.3081219 ## 18 Average -5.482800 1.226083 -7.749624 -3.0963061 ## 19 Average -3.250537 1.434039 -6.165372 -0.5433957 ## 20 Average -4.699063 1.389517 -7.335542 -2.0038180 ## 21 Average -5.931295 1.314372 -8.430509 -3.3027724 ``` ] --- # PPSCM Application The coefficient table contains two main types of data 1. "Average" period-specific ATT across all treated units (top rows, "Average" Level) 1. Unit-specific ATTs for each period ```r att_ppscm <- sum_ppscm$att att_ppscm ``` ``` ## Time Level Estimate Std.Error lower_bound upper_bound ## 1 -44 Average -1.231575053 7.72470104 -13.06162669 11.7783130939 ## 2 -43 Average 1.389609406 5.77295801 -8.60717098 10.0551645933 ## 3 -42 Average 0.429718524 7.14345451 -12.88063103 13.2842725222 ## 4 -41 Average 2.236318929 5.10711672 -7.55223812 9.5336381234 ## 5 -40 Average 1.676580849 5.39559923 -8.97603873 8.4513154994 ## 6 -39 Average 1.405283286 4.25605892 -7.09510485 6.6875692641 ## 7 -38 Average 2.138179308 3.11693390 -4.30852759 6.4573272730 ## 8 -37 Average 1.286090944 2.73683101 -4.66904792 5.6139816428 ## 9 -36 Average 0.707601619 2.19889857 -4.10970124 4.4310364372 ## 10 -35 Average 0.268413813 1.84489189 -3.87495082 3.1196422927 ## 11 -34 Average 0.673977219 1.53417183 -2.63379055 3.2845991284 ## 12 -33 Average 1.127508250 1.32656466 -1.54087092 3.6075590179 ## 13 -32 Average 0.757983285 1.30556497 -1.72401395 3.2941292702 ## 14 -31 Average 0.349383056 1.03160803 -1.61295706 2.3741565300 ## 15 -30 Average 0.373591407 0.99948416 -1.58490520 2.1619951610 ## 16 -29 Average 0.487207446 1.20214016 -1.96634825 2.8389458793 ## 17 -28 Average 0.006849478 1.32982981 -2.48751534 2.7509417190 ## 18 -27 Average 0.549192921 1.31034303 -1.82814347 3.2547947151 ## 19 -26 Average 0.568075574 1.23055989 -1.76697491 2.9456942062 ## 20 -25 Average 0.618649849 1.33086304 -1.83293492 3.2642828615 ## 21 -24 Average 0.647668829 1.31079074 -1.75751518 3.1746102740 ## 22 -23 Average 1.275966338 1.33917493 -1.10127707 4.0292801812 ## 23 -22 Average 0.989274401 1.46549649 -1.68713086 3.8774223501 ## 24 -21 Average 1.270848482 1.58171908 -1.76580216 4.3416099374 ## 25 -20 Average 0.983950346 1.60334340 -1.91994222 4.3213953248 ## 26 -19 Average 1.670263452 1.79563646 -1.50599431 5.3934886598 ## 27 -18 Average 1.484996949 1.99252930 -2.07954524 5.5733653985 ## 28 -17 Average -0.003374371 1.59542596 -2.89127733 3.4911901723 ## 29 -16 Average 1.015617589 1.05255597 -0.90831712 3.1238496460 ## 30 -15 Average 1.510888701 1.05040172 -0.56075306 3.4759790079 ## 31 -14 Average 0.776070440 0.86142699 -0.75222266 2.4019263194 ## 32 -13 Average -0.490021419 1.10844148 -2.65882628 1.6019255178 ## 33 -12 Average 0.134444123 1.31969936 -2.50537519 2.5225417160 ## 34 -11 Average 0.173497210 1.32074297 -2.62658342 2.5142338896 ## 35 -10 Average -0.036399682 1.51792785 -3.10284919 2.7432053219 ## 36 -9 Average -0.573859315 1.43735441 -3.38468892 2.2076841337 ## 37 -8 Average -0.428679024 1.86670425 -4.18688540 2.9301395770 ## 38 -7 Average -1.955094626 1.86760513 -5.63028172 1.4862138032 ## 39 -6 Average -1.788805000 1.91539336 -5.65510726 1.6666650000 ## 40 -5 Average -1.688960226 1.95860092 -5.65703009 1.8784885126 ## 41 -4 Average -2.171851589 1.97063403 -6.31074467 1.3304937436 ## 42 -3 Average -2.801002580 2.13588111 -7.19230879 1.0190625545 ## 43 -2 Average -1.998992048 2.22153273 -6.65455397 1.7779625909 ## 44 -1 Average -3.558136415 2.05864679 -7.93533553 0.0005317256 ## 45 0 Average -8.050414005 1.91594962 -11.80382998 -4.5738291164 ## 46 1 Average -8.808877205 1.78175897 -12.28165646 -5.3351129858 ## 47 2 Average -7.992208415 1.55020453 -11.07178895 -4.9927347781 ## 48 3 Average -7.424092814 1.72826853 -10.76112948 -3.9748238010 ## 49 4 Average -7.849962623 1.94169453 -11.54853220 -4.3476286681 ## 50 5 Average -7.225758851 1.97907960 -11.18482945 -3.6738126412 ## 51 6 Average -7.312214135 1.88456060 -11.19242875 -3.9488930724 ## 52 7 Average -8.393914481 1.90342992 -12.31224541 -4.8571976226 ## 53 8 Average -7.742747654 1.68539193 -11.37881266 -4.5996062009 ## 54 9 Average -5.803651731 1.35797927 -8.41206631 -3.1729929656 ## 55 10 Average -5.605129462 1.38906781 -8.40689290 -2.8608149229 ## 56 11 Average -6.061360070 1.34029246 -8.60041964 -3.3951711375 ## 57 12 Average -5.176553206 1.56999393 -8.27259848 -2.0941980080 ## 58 13 Average -5.563720809 1.55581430 -8.78912554 -2.6265675720 ## 59 14 Average -6.843103572 1.50963100 -9.98493900 -3.9552330163 ## 60 15 Average -7.050999884 1.36466281 -9.63144378 -4.3977075078 ## 61 16 Average -6.619539148 1.37684806 -9.15726101 -3.7716313146 ## 62 17 Average -5.975505837 1.36105771 -8.64873153 -3.3081218518 ## 63 18 Average -5.482799787 1.22608314 -7.74962439 -3.0963061049 ## 64 19 Average -3.250536591 1.43403866 -6.16537181 -0.5433956739 ## 65 20 Average -4.699063197 1.38951718 -7.33554246 -2.0038180181 ## 66 21 Average -5.931295352 1.31437235 -8.43050890 -3.3027723992 ## 67 NA Average -6.584702219 1.36968078 -9.24134073 -3.9319358899 ## 68 -44 AK NA NaN NA NA ## 69 -43 AK NA NaN NA NA ## 70 -42 AK NA NaN NA NA ## 71 -41 AK NA NaN NA NA ## 72 -40 AK NA NaN NA NA ## 73 -39 AK NA NaN NA NA ## 74 -38 AK NA NaN NA NA ## 75 -37 AK NA NaN NA NA ## 76 -36 AK NA NaN NA NA ## 77 -35 AK NA NaN NA NA ## 78 -34 AK 7.110745047 7.22309021 -5.74778943 13.6885293830 ## 79 -33 AK 0.644354615 7.29783635 -11.44459590 12.1160182674 ## 80 -32 AK 5.637016392 4.23669716 -3.51202533 10.5583966078 ## 81 -31 AK 6.641768453 5.90674893 -4.14500659 12.4403450282 ## 82 -30 AK 4.358989940 4.78403598 -4.28437185 8.8264901244 ## 83 -29 AK -0.801474945 1.05514780 -2.03133952 1.1961922540 ## 84 -28 AK 4.965814695 4.39174919 -3.09748610 9.3012044705 ## 85 -27 AK 7.378338757 6.54688244 -4.60372275 13.8199750506 ## 86 -26 AK 4.319818069 6.43671934 -7.49748091 11.9987790998 ## 87 -25 AK -6.698832699 5.58310956 -12.54722817 4.1735646440 ## 88 -24 AK -1.062500111 1.34584319 -2.59200547 1.4848666434 ## 89 -23 AK 3.270475790 5.80866233 -7.33772413 10.7455969125 ## 90 -22 AK -1.498856794 2.68507447 -5.08155183 3.5197247479 ## 91 -21 AK 1.151713780 7.44120774 -11.43545010 12.6355495822 ## 92 -20 AK 6.730796736 7.66269216 -7.18104543 14.1946144059 ## 93 -19 AK 2.876472591 2.83953043 -2.24086825 5.4375527561 ## 94 -18 AK 11.825238904 11.51488800 -9.05551400 22.1492307960 ## 95 -17 AK -2.667909546 2.78178811 -5.23163929 2.3129095192 ## 96 -16 AK 8.069173928 10.62083279 -11.40993004 19.8181009140 ## 97 -15 AK 14.781827870 24.01444857 -29.22471846 44.6275546922 ## 98 -14 AK -3.216079455 10.87500804 -19.46227846 16.1110853713 ## 99 -13 AK 3.459337931 2.78029551 -2.15526664 6.4795018293 ## 100 -12 AK 0.108367627 0.83404633 -1.30032518 1.4132475233 ## 101 -11 AK 10.161134991 8.87175532 -6.58986436 19.0322823818 ## 102 -10 AK -8.341488083 9.60812988 -17.81732822 9.1253999191 ## 103 -9 AK -3.136775945 6.20208686 -11.39683670 8.1282810862 ## 104 -8 AK -6.291572381 4.57973252 -11.78440978 3.9198350614 ## 105 -7 AK -9.233689126 6.46980283 -17.29513215 5.7528585235 ## 106 -6 AK -8.302631553 17.07444509 -31.29162564 22.6401897115 ## 107 -5 AK -12.627620176 19.57331988 -36.44250186 23.2843774477 ## 108 -4 AK -12.231757454 21.50219204 -39.80058378 27.0549527420 ## 109 -3 AK -9.413756166 19.03920718 -34.93250643 25.1232663022 ## 110 -2 AK -9.069651494 11.50567086 -21.45220628 12.0015251243 ## 111 -1 AK -8.896790187 6.66918535 -16.66410486 5.5429612523 ## 112 0 AK -15.366447892 15.69609528 -29.58115740 12.6121299544 ## 113 1 AK -7.313421419 14.72916829 -27.03236066 19.4116931975 ## 114 2 AK -8.633568441 17.47209931 -32.05586988 23.0595949057 ## 115 3 AK -13.218695711 20.33995078 -37.87940977 24.1053773068 ## 116 4 AK -14.496949578 16.01276927 -29.56658662 14.4605967791 ## 117 5 AK -7.529635026 6.13759557 -14.10336033 4.6911824842 ## 118 6 AK -4.135134291 4.87631473 -9.05931123 4.7504562613 ## 119 7 AK -6.789355842 8.18313994 -15.22393498 8.1493511241 ## 120 8 AK -8.727149205 16.49899845 -30.40705578 21.3132672655 ## 121 9 AK -12.637923317 18.29451663 -34.12527063 20.9564094586 ## 122 10 AK -11.250378582 17.53522253 -32.64141667 20.9183938359 ## 123 11 AK -8.706526203 15.00762302 -27.80889841 18.7365988819 ## 124 12 AK -8.288961669 9.44449653 -17.49667434 8.8594811959 ## 125 13 AK 0.827864930 7.48421469 -11.66076506 12.5234106162 ## 126 14 AK -15.831893420 12.85590462 -29.65387987 9.8637274064 ## 127 15 AK -3.662119422 6.81208743 -12.56718964 8.7512200248 ## 128 16 AK -8.130065798 13.13355673 -24.41294505 15.9413235208 ## 129 17 AK -6.399480180 15.25622031 -27.66159273 20.9932606625 ## 130 18 AK -3.120568371 9.17331814 -16.37266042 13.1209928165 ## 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1628 -25 MS 2.165197953 4.40480677 -5.93610386 8.1894498115 ## 1629 -24 MS 4.081503958 6.50577493 -8.01427859 12.2619448067 ## 1630 -23 MS 5.355767790 13.19690216 -19.40247342 24.6977704761 ## 1631 -22 MS 1.347010924 9.03898698 -15.74555826 17.0773571507 ## 1632 -21 MS 10.028304023 14.70859664 -17.41387052 27.8504415968 ## 1633 -20 MS 3.006053302 8.09887816 -11.64762041 14.7799611435 ## 1634 -19 MS -0.837020922 6.78042713 -12.04844077 11.0021483328 ## 1635 -18 MS -2.736083440 2.79576152 -5.51570072 2.3801083258 ## 1636 -17 MS -0.582561962 4.49138186 -7.85239937 7.1241866011 ## 1637 -16 MS 1.361855843 8.91024585 -14.86902132 16.2154982664 ## 1638 -15 MS -7.641969830 4.95288095 -13.91637539 3.7017283310 ## 1639 -14 MS -5.979765418 8.29096260 -15.73194219 9.5087363732 ## 1640 -13 MS -8.669090392 10.76150240 -20.37097367 11.7884835737 ## 1641 -12 MS -2.579465935 2.65446987 -5.14604911 2.3240795190 ## 1642 -11 MS -4.950302319 5.46993884 -10.27641836 5.2987923264 ## 1643 -10 MS -2.788321608 2.41897228 -5.78536079 2.5899018442 ## 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1660 7 MS -1.480869659 4.93096776 -9.31979182 7.8556430818 ## 1661 8 MS -14.186603520 12.75056310 -28.15142554 11.8933620712 ## 1662 9 MS 4.491576029 4.96669155 -4.80937742 9.3018328614 ## 1663 10 MS 3.856390638 3.05201457 -2.40264115 7.2231999545 ## 1664 11 MS 0.341164726 5.61033822 -8.96534575 9.3026564754 ## 1665 12 MS 0.392039180 7.82107315 -13.18465710 13.5722639512 ## 1666 13 MS -0.667075970 1.18139254 -2.43057400 1.6660943949 ## 1667 14 MS -2.995010222 5.71228084 -10.91250483 7.9513103008 ## 1668 15 MS -17.546050706 17.78451454 -34.42974863 15.2341385977 ## 1669 16 MS 3.956427868 6.29500831 -7.77343340 12.0942139582 ## 1670 17 MS 5.132325504 3.98218242 -3.09482993 9.6130842150 ## 1671 18 MS 5.721183836 4.75019008 -3.43724639 10.7160449721 ## 1672 19 MS -5.078707351 3.42444723 -9.51265638 3.1416016009 ## 1673 20 MS 2.252045548 1.82929400 -1.25325544 4.1010773773 ## 1674 21 MS -3.247473608 3.29071077 -8.39741695 4.6757626496 ## 1675 NA MS -2.594845701 2.83891823 -5.40426328 2.7004035846 ## 1676 -44 MT NA NaN NA NA ## 1677 -43 MT NA NaN NA NA ## 1678 -42 MT NA NaN NA NA ## 1679 -41 MT NA NaN NA NA ## 1680 -40 MT NA NaN NA NA ## 1681 -39 MT NA NaN NA NA ## 1682 -38 MT NA NaN NA NA ## 1683 -37 MT NA NaN NA NA ## 1684 -36 MT NA NaN NA NA ## 1685 -35 MT NA NaN NA NA ## 1686 -34 MT NA NaN NA NA ## 1687 -33 MT -2.561963495 3.72933573 -7.17263005 4.4288925562 ## 1688 -32 MT -0.636821420 7.73897739 -14.66067687 14.0964483951 ## 1689 -31 MT -1.958075366 5.24069400 -9.85032317 8.2394360004 ## 1690 -30 MT -1.032716242 4.78140182 -8.67892115 7.7539862519 ## 1691 -29 MT 4.202897772 7.97035609 -10.70159322 15.0366496028 ## 1692 -28 MT 3.158582078 7.24955650 -10.46056411 13.3187282450 ## 1693 -27 MT 3.837997298 6.14710735 -7.79299892 11.7795945617 ## 1694 -26 MT 0.640003070 4.41319151 -7.50200371 8.2530513479 ## 1695 -25 MT -2.555589702 1.56782980 -4.60950273 0.8429025702 ## 1696 -24 MT -5.701100721 3.95747882 -10.38196178 2.8250142934 ## 1697 -23 MT -4.768306882 5.99325386 -12.26801385 6.5555032925 ## 1698 -22 MT -6.092727375 6.38647514 -13.60717938 6.0373938513 ## 1699 -21 MT -5.451526453 7.85592976 -16.53858966 9.4573268159 ## 1700 -20 MT -5.996828676 6.65963749 -14.94527821 7.6103614351 ## 1701 -19 MT -3.610676985 4.45418636 -9.05039016 4.8149865185 ## 1702 -18 MT -3.231937908 4.82133077 -9.23934342 5.8072215821 ## 1703 -17 MT -8.095945275 6.68969596 -15.06775183 4.7737614566 ## 1704 -16 MT -4.236530813 4.15057401 -8.64403644 3.6072455900 ## 1705 -15 MT -5.250670861 3.68674839 -10.21859550 2.3686624613 ## 1706 -14 MT -7.103514672 5.64171116 -14.42240963 5.5493788612 ## 1707 -13 MT -6.638598462 8.50772848 -20.22526488 12.2384100236 ## 1708 -12 MT -3.330103227 5.91920450 -11.03760275 7.9647077192 ## 1709 -11 MT 4.668920754 3.07998972 -2.46183569 8.5256290731 ## 1710 -10 MT 4.194848928 3.91254244 -4.78706059 9.4256686977 ## 1711 -9 MT 9.837804781 8.65389012 -6.24434574 18.5167675202 ## 1712 -8 MT 9.185723163 7.06438353 -4.83803593 16.8104156830 ## 1713 -7 MT 12.981318807 10.69311713 -9.27634677 25.1874476828 ## 1714 -6 MT 8.438738622 7.60047300 -7.60939739 18.1341862154 ## 1715 -5 MT 2.272873932 2.88348902 -3.81406212 6.5372717784 ## 1716 -4 MT 4.550021150 2.62108547 -1.41403479 8.0511019434 ## 1717 -3 MT 2.492681475 3.15695448 -3.97840932 7.3245632008 ## 1718 -2 MT 3.174099963 3.37939081 -4.44828430 8.3621155641 ## 1719 -1 MT 4.617122739 3.60164331 -2.34385833 8.4079887856 ## 1720 0 MT 3.510657875 3.61418748 -3.62966062 8.3254549256 ## 1721 1 MT 1.076218909 3.50335336 -5.61343664 7.1459144811 ## 1722 2 MT -1.081433286 4.79788811 -8.98915536 7.9329408470 ## 1723 3 MT -2.326009131 8.16088128 -15.47298899 13.3614584634 ## 1724 4 MT -4.537334300 10.01403259 -18.74304643 14.6269275870 ## 1725 5 MT 1.589796566 6.21158894 -9.75751899 12.2527617899 ## 1726 6 MT 1.245931825 2.95966195 -4.51840451 5.7027150562 ## 1727 7 MT 7.526425108 5.59408152 -4.10245320 13.7059614460 ## 1728 8 MT 2.736879655 3.23570161 -3.56052071 7.3972418603 ## 1729 9 MT -3.363784475 7.22262031 -13.37529173 10.2717339695 ## 1730 10 MT -0.146715566 4.68835421 -8.65188612 8.7375303494 ## 1731 11 MT 0.387246214 4.57274610 -8.44160913 9.0035369981 ## 1732 12 MT 2.807202776 2.92994253 -4.08058194 7.4405386582 ## 1733 13 MT 1.879689662 1.66127317 -1.32867046 3.6823162960 ## 1734 14 MT -8.137980593 7.51729523 -16.49443630 6.6824022918 ## 1735 15 MT -0.985938849 5.20998004 -8.68454754 9.1495115726 ## 1736 16 MT -0.584415068 3.50945803 -5.93584166 6.2682102082 ## 1737 17 MT -0.076194406 3.40999205 -5.63408696 6.4594015300 ## 1738 18 MT -3.980783167 7.79962253 -14.00191346 10.5908840517 ## 1739 19 MT 4.780456474 3.43123845 -2.82529408 9.0528821636 ## 1740 20 MT 2.117303475 1.01653487 -0.09213539 3.6354994731 ## 1741 21 MT 2.834735292 2.21227619 -2.22153341 6.3339293500 ## 1742 NA MT 0.330543409 2.81121108 -4.62352392 5.6700391972 ## 1743 -44 NC NA NaN NA NA ## 1744 -43 NC NA NaN NA NA ## 1745 -42 NC NA NaN NA NA ## 1746 -41 NC NA NaN NA NA ## 1747 -40 NC NA NaN NA NA ## 1748 -39 NC NA NaN NA NA ## 1749 -38 NC NA NaN NA NA ## 1750 -37 NC NA NaN NA NA ## 1751 -36 NC -3.728808112 4.58481288 -9.32385663 4.9976947363 ## 1752 -35 NC -1.139178743 2.83953669 -6.65619192 5.3506755370 ## 1753 -34 NC -2.822000962 6.80654279 -12.37975076 10.2527398984 ## 1754 -33 NC 2.540727163 1.43926696 -0.73869111 4.4946576532 ## 1755 -32 NC 0.737076238 1.70289239 -2.90202229 3.7850515281 ## 1756 -31 NC -2.640463332 4.23158887 -8.29783577 5.4691909980 ## 1757 -30 NC -1.510545379 1.64059458 -3.67128887 1.9401812922 ## 1758 -29 NC -1.249168357 1.75234914 -3.75311266 2.4305092779 ## 1759 -28 NC -1.703965760 1.13181285 -3.21566999 0.7077318351 ## 1760 -27 NC 0.327483599 0.54480832 -0.82908069 1.2950203447 ## 1761 -26 NC 4.440779729 4.89990770 -4.79484377 9.3297221198 ## 1762 -25 NC 6.293314930 6.44990028 -5.95904380 12.9642699464 ## 1763 -24 NC 4.085219599 4.43567529 -4.65295397 9.0355961019 ## 1764 -23 NC 4.042104467 4.00003239 -4.62273363 9.4652419730 ## 1765 -22 NC 6.813527821 7.12718461 -6.51486865 13.8224756339 ## 1766 -21 NC 3.277308714 4.19957445 -4.65752325 7.7322047178 ## 1767 -20 NC 1.260217953 2.52882974 -3.60255110 4.8316282030 ## 1768 -19 NC 3.513514919 9.77845407 -15.14585392 18.4415604147 ## 1769 -18 NC -2.995170399 8.43306927 -17.23425833 12.5533376159 ## 1770 -17 NC 3.095488978 8.09044623 -12.75214483 13.1073554913 ## 1771 -16 NC -5.218225535 2.81051059 -9.23126947 0.5423336803 ## 1772 -15 NC -2.155858365 2.17364252 -5.52073880 2.8264705055 ## 1773 -14 NC -2.607269030 1.58276959 -4.85261864 0.8461729061 ## 1774 -13 NC 0.845004114 2.40258309 -4.18508347 5.1534722346 ## 1775 -12 NC 5.873366446 10.85622498 -15.05467635 20.6744863966 ## 1776 -11 NC 1.383863348 4.31435040 -7.17693358 8.7628611819 ## 1777 -10 NC -2.121045648 3.43544981 -7.26702053 4.8362721854 ## 1778 -9 NC -4.856964732 8.71231371 -17.62405663 12.0579018280 ## 1779 -8 NC -4.172907019 5.74154611 -11.15204475 6.6884352744 ## 1780 -7 NC -2.622955550 5.23725452 -9.70472901 7.5171693342 ## 1781 -6 NC -3.035326192 5.62506367 -10.77196366 7.7694143137 ## 1782 -5 NC 0.673680374 2.09324521 -3.84260311 4.5437113029 ## 1783 -4 NC -0.360734576 2.19389647 -3.64449173 3.8356751970 ## 1784 -3 NC 1.947773823 5.67327075 -8.73332192 10.8491504849 ## 1785 -2 NC -3.830726431 10.03302508 -18.52508945 14.9318364162 ## 1786 -1 NC -2.379138094 4.87718967 -9.51176692 7.1815364343 ## 1787 0 NC -7.981843424 10.18123034 -18.68594052 11.1989063066 ## 1788 1 NC -7.906002026 9.39854162 -17.51929928 9.6916834963 ## 1789 2 NC -2.076304443 3.19573224 -6.32520525 4.0712031087 ## 1790 3 NC 0.304820231 0.85582933 -1.57633972 1.9252686385 ## 1791 4 NC -2.922503140 5.89852148 -11.11955120 8.4825491831 ## 1792 5 NC -6.140263793 8.23180214 -15.07943919 9.5549784343 ## 1793 6 NC -3.922929927 5.54166708 -10.54875959 6.6325488159 ## 1794 7 NC -3.440032210 5.73223648 -10.13646966 7.5253963961 ## 1795 8 NC -5.768519381 8.12151151 -14.77992856 9.8162563609 ## 1796 9 NC -0.461252087 1.80139061 -3.95769244 3.5004471077 ## 1797 10 NC -5.679010328 5.87572046 -11.28736592 5.2095289205 ## 1798 11 NC -0.419087592 3.47905411 -7.45492476 6.9746443918 ## 1799 12 NC -4.173479388 5.72782794 -14.75364302 8.1198557601 ## 1800 13 NC -9.116257000 8.89642738 -17.81362776 7.6652305998 ## 1801 14 NC 2.669923024 1.74269645 -1.10807629 4.8650954000 ## 1802 15 NC -2.006903134 2.89295622 -6.98549520 4.2136479953 ## 1803 16 NC 3.171149749 6.10739434 -9.39220638 13.0263909163 ## 1804 17 NC 2.455636391 1.61383197 -1.22328292 4.4731260838 ## 1805 18 NC -4.186195678 7.74802047 -15.16797860 10.4109681902 ## 1806 19 NC -6.966964973 7.87211174 -15.92102659 7.9367813869 ## 1807 20 NC -6.004532894 6.14926116 -12.22188295 5.6528468447 ## 1808 21 NC -1.599946309 2.80554608 -4.77327378 3.7895455998 ## 1809 NA NC -3.280477197 4.13125597 -7.48562389 4.5683556901 ## 1810 -44 NH NA NaN NA NA ## 1811 -43 NH NA NaN NA NA ## 1812 -42 NH NA NaN NA NA ## 1813 -41 NH NA NaN NA NA ## 1814 -40 NH NA NaN NA NA ## 1815 -39 NH NA NaN NA NA ## 1816 -38 NH NA NaN NA NA ## 1817 -37 NH NA NaN NA NA ## 1818 -36 NH NA NaN NA NA ## 1819 -35 NH NA NaN NA NA ## 1820 -34 NH NA NaN NA NA ## 1821 -33 NH 12.163101849 15.32563065 -16.33134316 28.7539804431 ## 1822 -32 NH 5.093428479 13.12420464 -19.91677696 24.4362110017 ## 1823 -31 NH 0.461336960 5.09836636 -8.80903455 9.3617243663 ## 1824 -30 NH -0.554322441 3.91765111 -6.90022208 6.3802611224 ## 1825 -29 NH -0.380603805 3.62724832 -6.32761182 5.8716407973 ## 1826 -28 NH -2.014048522 2.95667918 -6.42315879 4.0102934300 ## 1827 -27 NH 4.220702091 5.64546782 -6.39480645 11.0123122366 ## 1828 -26 NH 1.134941416 3.65717461 -5.66578818 7.0254677785 ## 1829 -25 NH 2.877541660 5.37857207 -7.39329159 9.9465547982 ## 1830 -24 NH -2.947038692 1.66474674 -5.36668943 0.6104205014 ## 1831 -23 NH 5.626529537 5.33886816 -5.45199431 11.9000818892 ## 1832 -22 NH -0.142427665 1.67667470 -2.93297267 2.7919686626 ## 1833 -21 NH 0.819498974 2.95412875 -4.38600032 5.1552951148 ## 1834 -20 NH 2.327744112 4.94908992 -7.92649441 10.5941238364 ## 1835 -19 NH 7.620900401 7.27386173 -6.04089906 14.7670685988 ## 1836 -18 NH 5.972486376 4.85166756 -3.77678233 11.1867470418 ## 1837 -17 NH 1.468112523 2.59385268 -3.34830762 4.9988213553 ## 1838 -16 NH 4.596613600 4.42530193 -3.56827059 8.6096731716 ## 1839 -15 NH -1.999416410 1.45782780 -3.64102944 1.0439401428 ## 1840 -14 NH 0.198708504 6.80737744 -10.92801039 11.1557349718 ## 1841 -13 NH -5.351273063 6.66734900 -15.79727554 9.3863603431 ## 1842 -12 NH 0.837759358 2.00872120 -3.11489132 4.1185433959 ## 1843 -11 NH -5.216582407 7.48524066 -13.76871362 8.8258205590 ## 1844 -10 NH 0.734800995 8.55490605 -14.96891711 15.8492233830 ## 1845 -9 NH 0.314306210 1.53683968 -2.75640200 3.1329468251 ## 1846 -8 NH -2.380270499 5.11954390 -9.49339363 7.3813635247 ## 1847 -7 NH -5.286965308 7.16927387 -15.45252365 9.1186509795 ## 1848 -6 NH -9.712331579 9.55612132 -21.76502375 10.1294879202 ## 1849 -5 NH -6.467530241 12.11867663 -22.19898347 16.1323850441 ## 1850 -4 NH -5.055454891 10.35244299 -19.04991816 14.4482360978 ## 1851 -3 NH -6.007803990 12.14577241 -22.18256339 16.5471929971 ## 1852 -2 NH 0.437367156 7.33052723 -12.70554824 13.2295230590 ## 1853 -1 NH -3.389810685 4.82272824 -9.09861906 5.7426710798 ## 1854 0 NH -6.166175663 4.74350156 -11.48218080 4.0949995074 ## 1855 1 NH -16.618876295 18.79702692 -35.11293904 18.0816840350 ## 1856 2 NH -4.110791616 9.32124462 -17.14398561 13.3078707018 ## 1857 3 NH -2.868622631 10.40157864 -19.22010825 16.6747589230 ## 1858 4 NH -4.010287279 10.76926003 -20.01909308 16.4607379584 ## 1859 5 NH 2.800839906 4.52586195 -6.09909917 9.4545533823 ## 1860 6 NH -3.872977507 5.56112464 -11.81721743 7.1773259688 ## 1861 7 NH -3.145228599 4.98294148 -9.19439187 6.2441437080 ## 1862 8 NH -4.259382353 7.81978236 -14.26159295 10.4822131967 ## 1863 9 NH -1.783406654 7.61384239 -13.70936596 12.1269373904 ## 1864 10 NH -2.392939283 7.66924525 -14.22994637 12.1066747624 ## 1865 11 NH -7.012542305 12.41410113 -22.80652594 16.5842480267 ## 1866 12 NH -2.510141149 8.13122868 -15.07386690 12.8466018088 ## 1867 13 NH -5.060860760 7.07781481 -13.03167765 8.2845492947 ## 1868 14 NH -1.004250660 3.41921029 -6.24326657 5.2490479555 ## 1869 15 NH -6.153908880 7.79696582 -15.01482319 8.2963897946 ## 1870 16 NH -5.789593879 8.49609979 -15.73087040 10.3001847131 ## 1871 17 NH 2.533423344 2.68070953 -3.15739655 6.1924813418 ## 1872 18 NH -0.334153382 6.52680625 -11.04578874 10.7492924581 ## 1873 19 NH 2.794754688 2.76507976 -2.40913635 5.5351265245 ## 1874 20 NH -2.537912836 3.64272185 -6.69909633 4.3185133976 ## 1875 21 NH -13.868914453 13.53620396 -26.71148057 11.5331977916 ## 1876 NA NH -3.880543102 6.48953574 -11.92583941 8.4826069720 ## 1877 -44 NJ NA NaN NA NA ## 1878 -43 NJ NA NaN NA NA ## 1879 -42 NJ NA NaN NA NA ## 1880 -41 NJ NA NaN NA NA ## 1881 -40 NJ NA NaN NA NA ## 1882 -39 NJ NA NaN NA NA ## 1883 -38 NJ NA NaN NA NA ## 1884 -37 NJ NA NaN NA NA ## 1885 -36 NJ NA NaN NA NA ## 1886 -35 NJ NA NaN NA NA ## 1887 -34 NJ NA NaN NA NA ## 1888 -33 NJ NA NaN NA NA ## 1889 -32 NJ NA NaN NA NA ## 1890 -31 NJ NA NaN NA NA ## 1891 -30 NJ NA NaN NA NA ## 1892 -29 NJ NA NaN NA NA ## 1893 -28 NJ NA NaN NA NA ## 1894 -27 NJ -0.540361160 4.25593347 -8.23215677 7.5847899333 ## 1895 -26 NJ -2.074027812 4.24473653 -9.49103400 7.0063084612 ## 1896 -25 NJ -7.007140154 4.10975625 -12.76031255 1.9268270943 ## 1897 -24 NJ -2.542818126 2.05221899 -4.98567497 1.9382630966 ## 1898 -23 NJ -0.465641063 2.64576579 -5.15110855 4.5932575285 ## 1899 -22 NJ -2.139919360 1.73710038 -4.34712904 1.7834658659 ## 1900 -21 NJ -2.047585639 2.27173815 -5.43133434 2.9782895343 ## 1901 -20 NJ -1.465578381 4.39634763 -9.08104952 7.3252579546 ## 1902 -19 NJ 0.482655089 2.54242995 -4.18320170 4.6610293014 ## 1903 -18 NJ 2.290527456 4.71848331 -6.43243072 8.7000725183 ## 1904 -17 NJ 4.876065985 7.86747321 -10.19841306 15.7822274123 ## 1905 -16 NJ 3.381926017 4.94020659 -6.29457817 10.1703177687 ## 1906 -15 NJ 5.771227975 6.29755500 -7.41394708 14.0278635362 ## 1907 -14 NJ 5.262042122 5.95217668 -6.41450095 12.4387202676 ## 1908 -13 NJ 8.415201707 8.20751551 -6.90944034 16.1157841479 ## 1909 -12 NJ 5.604735841 4.37154717 -2.98450823 10.2064772720 ## 1910 -11 NJ -2.474064803 2.02813289 -4.63677376 1.6539512638 ## 1911 -10 NJ 0.001895158 1.25990612 -2.24371683 2.2458925033 ## 1912 -9 NJ 6.213551320 4.39152200 -3.90351850 11.6705687199 ## 1913 -8 NJ 13.556865909 9.57075005 -7.29655724 24.6876661459 ## 1914 -7 NJ -4.150985750 7.18034107 -13.13266942 9.0231594136 ## 1915 -6 NJ -3.374471081 6.82769525 -12.65613534 9.3153821420 ## 1916 -5 NJ -7.720888272 12.40858784 -22.83534794 15.1915961613 ## 1917 -4 NJ -8.110969498 11.68316129 -21.40200976 13.3720708298 ## 1918 -3 NJ -1.769482851 7.92781297 -14.11403786 12.3622398367 ## 1919 -2 NJ -1.690820993 9.16819061 -16.21224675 14.5383238314 ## 1920 -1 NJ -8.281939636 12.76356939 -23.47567091 15.2764735117 ## 1921 0 NJ -17.850064472 23.02360263 -42.42108289 24.0986657078 ## 1922 1 NJ -15.783218903 17.67817963 -33.12868210 16.3441683395 ## 1923 2 NJ -16.961742354 18.36893628 -34.25165867 16.5301856248 ## 1924 3 NJ -19.582584684 20.14417189 -38.17700490 16.8759233405 ## 1925 4 NJ -15.528966695 17.01944076 -31.77429937 15.2129374288 ## 1926 5 NJ -11.356587500 12.34471007 -23.05318672 11.2194850328 ## 1927 6 NJ -12.454095961 15.66111700 -29.55108028 16.5737602855 ## 1928 7 NJ -18.901329384 22.49473960 -41.40831484 21.7129171077 ## 1929 8 NJ -14.914748603 15.50323265 -28.80405093 13.1640746454 ## 1930 9 NJ -17.761758092 18.12661140 -35.11588912 15.1285159803 ## 1931 10 NJ -19.443780943 19.69247824 -38.44133068 16.5195371632 ## 1932 11 NJ -8.995946657 11.49332296 -21.69909121 11.8468419921 ## 1933 12 NJ -4.815974699 7.63706797 -14.02121476 9.2533552848 ## 1934 13 NJ -10.977777511 12.18073411 -22.72946964 11.2236010340 ## 1935 14 NJ -12.743324771 15.24244827 -27.98893716 14.7050988952 ## 1936 15 NJ -13.171194064 14.16045197 -26.36293430 12.5041978675 ## 1937 16 NJ -15.255617650 15.34892042 -30.16112194 12.8024727792 ## 1938 17 NJ -19.929376351 21.13262711 -39.22310770 18.4518846229 ## 1939 18 NJ -15.432465895 16.49137647 -30.69257929 14.5135166980 ## 1940 19 NJ -10.879022908 13.29311038 -24.19637852 13.2025367478 ## 1941 20 NJ -8.512828931 8.13097319 -16.24488519 6.3082499047 ## 1942 21 NJ -2.438734529 8.85369194 -15.62946969 13.1793480944 ## 1943 NA NJ -13.804142798 15.53716219 -28.78325143 13.9917307725 ## 1944 -44 NM NA NaN NA NA ## 1945 -43 NM NA NaN NA NA ## 1946 -42 NM NA NaN NA NA ## 1947 -41 NM NA NaN NA NA ## 1948 -40 NM NA NaN NA NA ## 1949 -39 NM NA NaN NA NA ## 1950 -38 NM NA NaN NA NA ## 1951 -37 NM NA NaN NA NA ## 1952 -36 NM NA NaN NA NA ## 1953 -35 NM NA NaN NA NA ## 1954 -34 NM NA NaN NA NA ## 1955 -33 NM NA NaN NA NA ## 1956 -32 NM NA NaN NA NA ## 1957 -31 NM NA NaN NA NA ## 1958 -30 NM NA NaN NA NA ## 1959 -29 NM -2.178071904 3.20792576 -6.02742245 3.7962958862 ## 1960 -28 NM -0.628986651 2.99486643 -5.80950208 5.0886738584 ## 1961 -27 NM -1.297311440 4.31192820 -8.05280247 6.7022535409 ## 1962 -26 NM -3.380434996 6.06164980 -11.21878508 7.8721200337 ## 1963 -25 NM -4.705649285 5.73950841 -10.64107636 5.7495254143 ## 1964 -24 NM -8.644583082 8.65832402 -16.64147780 6.9741675239 ## 1965 -23 NM -3.251471977 4.54804871 -8.55464937 5.2776898465 ## 1966 -22 NM -1.891856346 2.88276361 -5.69671694 3.5166146020 ## 1967 -21 NM -2.827797664 1.52200145 -5.05737556 0.2222106161 ## 1968 -20 NM -7.570240864 7.02045083 -14.07051263 5.1216567597 ## 1969 -19 NM -7.240658405 5.58524504 -13.18556694 3.3983723828 ## 1970 -18 NM -5.599841175 3.58583052 -10.10560617 1.5484382857 ## 1971 -17 NM 6.499179934 9.88830709 -11.89308240 17.6592144835 ## 1972 -16 NM -6.626238290 3.64550817 -12.06668033 1.4121706426 ## 1973 -15 NM 3.860831585 4.41508697 -4.17394573 8.0668922475 ## 1974 -14 NM 5.752229079 6.54038285 -6.36999603 12.6976332798 ## 1975 -13 NM 1.612864315 1.46806389 -1.64377629 3.4269804123 ## 1976 -12 NM -4.043397897 4.35045001 -8.51109888 3.9811207708 ## 1977 -11 NM 2.127331082 2.45476490 -2.70546081 5.7983492207 ## 1978 -10 NM 5.959652077 11.74430944 -15.66575968 21.7713554032 ## 1979 -9 NM -2.937418496 5.50589044 -10.13483851 7.3825126353 ## 1980 -8 NM 3.378197427 1.94898929 -0.83552791 6.0026380249 ## 1981 -7 NM 8.868848446 7.60811064 -5.10303228 16.1505753478 ## 1982 -6 NM 7.689965310 5.97370017 -4.44025774 14.0050032369 ## 1983 -5 NM 5.409699024 5.36634940 -5.43522292 11.9184835690 ## 1984 -4 NM 8.166971174 6.50825090 -5.33293881 15.5417999495 ## 1985 -3 NM 3.670054906 4.27494504 -4.24469367 8.6530353047 ## 1986 -2 NM 1.215157797 3.13950397 -5.01743687 6.9647126507 ## 1987 -1 NM -1.387023684 7.48508568 -13.48176959 11.9643470262 ## 1988 0 NM 0.473671320 5.54402559 -8.60355358 9.1129437593 ## 1989 1 NM -4.897326814 10.08290820 -20.69450457 14.5800901628 ## 1990 2 NM -7.795535961 12.36580105 -26.13431792 16.4793896763 ## 1991 3 NM -8.753032972 9.60672393 -19.97734014 9.1695388828 ## 1992 4 NM -1.542780395 1.43251796 -3.54320111 1.6949269354 ## 1993 5 NM -10.443759596 9.23572451 -20.41638367 7.7150125907 ## 1994 6 NM -4.722626690 9.54949365 -18.00834206 12.3956033318 ## 1995 7 NM 0.193716905 6.45135983 -10.75109959 10.7298038462 ## 1996 8 NM -5.160179310 8.97023782 -18.63258409 12.1822676775 ## 1997 9 NM -4.100766971 3.96130828 -10.31488605 5.1888535576 ## 1998 10 NM -5.503834888 4.14864819 -10.02273292 2.6736921560 ## 1999 11 NM 0.004218536 1.61581491 -2.84457435 2.8692755696 ## 2000 12 NM -3.496967275 3.96361091 -9.12992785 4.8710181108 ## 2001 13 NM -6.428505881 10.54553211 -21.63181959 13.6307812819 ## 2002 14 NM -3.576591476 7.00594901 -14.16038472 9.6644819110 ## 2003 15 NM -5.536717534 9.52826830 -18.54737022 11.9142926099 ## 2004 16 NM -5.852616651 9.12564477 -18.96994326 11.6540673618 ## 2005 17 NM -7.929179078 8.38197368 -16.91960486 7.6453555314 ## 2006 18 NM -7.863703694 5.05736869 -14.32016082 3.5778140597 ## 2007 19 NM -8.872604653 7.30682312 -16.28685403 5.2270698357 ## 2008 20 NM -16.333673852 15.00178857 -34.21239256 13.7950054071 ## 2009 21 NM -3.904849878 5.79483839 -13.81706389 8.8553043275 ## 2010 NA NM -5.547438491 6.71191838 -14.55691551 7.6732882477 ## 2011 -44 NV NA NaN NA NA ## 2012 -43 NV NA NaN NA NA ## 2013 -42 NV NA NaN NA NA ## 2014 -41 NV NA NaN NA NA ## 2015 -40 NV NA NaN NA NA ## 2016 -39 NV NA NaN NA NA ## 2017 -38 NV NA NaN NA NA ## 2018 -37 NV 9.591530911 10.20454215 -8.62669063 18.7054992678 ## 2019 -36 NV 5.429656521 11.04010904 -14.33795956 20.2753486038 ## 2020 -35 NV 7.665343088 6.21197730 -4.37711985 13.9589370910 ## 2021 -34 NV 5.248935955 4.81416401 -3.34330509 9.5603804293 ## 2022 -33 NV 5.981793391 6.60395649 -5.87190158 12.4090922261 ## 2023 -32 NV 3.093934599 4.40568901 -4.96737133 8.4520666901 ## 2024 -31 NV 2.188165839 2.09152802 -1.59658341 4.2123238909 ## 2025 -30 NV 1.671227932 1.37818354 -1.17740934 3.1805103404 ## 2026 -29 NV 3.042190722 5.53079355 -6.96101027 10.0763241256 ## 2027 -28 NV 5.134057222 6.75727895 -7.10318681 12.5806084234 ## 2028 -27 NV 4.992700892 6.71775954 -7.17648374 12.5001320287 ## 2029 -26 NV 3.978131668 6.52068163 -7.85281546 12.2028895119 ## 2030 -25 NV 7.788491422 10.65465619 -11.48693785 19.9479788590 ## 2031 -24 NV 2.309169876 7.97131524 -11.41088348 14.1173827241 ## 2032 -23 NV 10.956190404 12.12531918 -10.78730565 22.3932988732 ## 2033 -22 NV 12.262304843 12.74182137 -10.39777507 23.6117090650 ## 2034 -21 NV 12.137992181 12.39026825 -10.13807071 23.0866186652 ## 2035 -20 NV 8.537156612 9.77924572 -9.10382469 17.5556917157 ## 2036 -19 NV 13.923689196 18.18131258 -19.36885524 32.4293891383 ## 2037 -18 NV 15.796279107 24.92521149 -29.50775744 45.9457012146 ## 2038 -17 NV -5.055267485 9.09509627 -17.08135541 11.7175576996 ## 2039 -16 NV 3.028130668 3.04137931 -2.56820172 6.0877598861 ## 2040 -15 NV 6.078431193 6.01899050 -4.81367728 11.3862287222 ## 2041 -14 NV 4.339769875 8.22073921 -10.66866301 15.3054081125 ## 2042 -13 NV -8.328835874 8.41694249 -16.75344800 6.8530399615 ## 2043 -12 NV -9.435349226 11.16068261 -21.46643107 11.0529736058 ## 2044 -11 NV -12.385560593 10.52948339 -23.08924457 7.7165659331 ## 2045 -10 NV -20.470520095 17.72934572 -38.36374943 13.6136385484 ## 2046 -9 NV -13.405083949 20.58318235 -37.94972932 23.8632743274 ## 2047 -8 NV -9.526025119 15.76163608 -28.97649684 19.0763204457 ## 2048 -7 NV -11.419999861 19.61131130 -35.96634096 24.0665709322 ## 2049 -6 NV -11.711137233 19.68838075 -36.29223925 23.7683507379 ## 2050 -5 NV -10.851090663 12.76460064 -23.50396303 12.1970021901 ## 2051 -4 NV -7.702013657 6.67797443 -16.11949094 6.8923550874 ## 2052 -3 NV -17.091411706 18.23640971 -33.42346479 15.6140132644 ## 2053 -2 NV -11.062391418 17.04890578 -31.51474916 19.7812159951 ## 2054 -1 NV -6.730587240 14.40686051 -25.94417655 18.9308300327 ## 2055 0 NV -9.639692758 15.85984111 -29.09107233 19.0464029533 ## 2056 1 NV -10.638952579 11.02877114 -21.43667220 9.3941369725 ## 2057 2 NV -9.319206941 7.70686281 -16.97070057 5.6902678937 ## 2058 3 NV -6.055865571 6.75302243 -12.27516947 6.0943858049 ## 2059 4 NV -14.277839719 15.57629906 -28.52468818 13.6470161943 ## 2060 5 NV -12.098325077 18.49147947 -34.10735995 21.3852268459 ## 2061 6 NV -11.169984234 16.14936591 -29.84674360 18.2074923131 ## 2062 7 NV -12.783201895 18.29041057 -33.82202689 20.5017839969 ## 2063 8 NV -11.270680402 16.24190572 -30.34069823 18.1019179379 ## 2064 9 NV -11.177504171 11.88730892 -21.74971327 10.0309008945 ## 2065 10 NV -7.592652644 5.65272079 -14.59729972 5.5006909458 ## 2066 11 NV -15.933921968 12.30530503 -29.87299231 10.7633607464 ## 2067 12 NV -10.226551847 12.40295945 -23.09579840 12.1729776801 ## 2068 13 NV -4.509937788 8.78881264 -15.95879095 11.2288582970 ## 2069 14 NV -5.538583085 13.09171281 -23.47948697 17.5847668370 ## 2070 15 NV -6.295283113 10.62998750 -20.16495458 12.9607065467 ## 2071 16 NV -9.497498561 10.84409811 -19.79865822 10.0669708059 ## 2072 17 NV -10.979766234 9.92421506 -20.97269432 7.8145512909 ## 2073 18 NV -15.336634450 13.15874030 -28.69716257 9.5551678694 ## 2074 19 NV -11.261002049 14.28048579 -26.35912657 14.6250348380 ## 2075 20 NV -10.188871137 12.31775420 -22.71763591 12.1007157791 ## 2076 21 NV -10.933003416 11.60333109 -21.25204119 9.7720041018 ## 2077 NA NV -10.305679984 11.67651609 -21.45343063 10.7147940866 ## 2078 -44 NY NA NaN NA NA ## 2079 -43 NY NA NaN NA NA ## 2080 -42 NY NA NaN NA NA ## 2081 -41 NY NA NaN NA NA ## 2082 -40 NY NA NaN NA NA ## 2083 -39 NY NA NaN NA NA ## 2084 -38 NY NA NaN NA NA ## 2085 -37 NY NA NaN NA NA ## 2086 -36 NY NA NaN NA NA ## 2087 -35 NY NA NaN NA NA ## 2088 -34 NY NA NaN NA NA ## 2089 -33 NY NA NaN NA NA ## 2090 -32 NY NA NaN NA NA ## 2091 -31 NY NA NaN NA NA ## 2092 -30 NY NA NaN NA NA ## 2093 -29 NY NA NaN NA NA ## 2094 -28 NY 1.675868988 5.70820300 -8.61518835 10.2743108241 ## 2095 -27 NY 0.862894867 5.53669571 -9.01903051 9.8733009397 ## 2096 -26 NY -4.645300604 2.63315450 -8.45929597 1.2032079014 ## 2097 -25 NY -3.003789429 1.66558049 -5.47003189 0.4759551575 ## 2098 -24 NY -2.134259924 1.34275208 -3.88657990 0.6914645871 ## 2099 -23 NY -2.975400106 1.67723970 -5.41833495 0.7349724152 ## 2100 -22 NY -0.768262579 3.37474130 -6.12700751 5.2066125787 ## 2101 -21 NY -0.572572852 5.50738633 -9.52559139 8.8396339952 ## 2102 -20 NY 1.751696438 3.82484927 -5.19923176 6.9339435847 ## 2103 -19 NY 1.617967358 4.45630587 -6.32917680 7.9328400476 ## 2104 -18 NY 4.172654552 9.05124866 -12.13887375 16.7038137690 ## 2105 -17 NY 2.156087986 5.11234802 -7.01974160 9.4469477814 ## 2106 -16 NY 3.210030468 5.60924074 -7.33597413 11.0147171080 ## 2107 -15 NY 1.108476765 3.45548865 -5.16089938 6.4312301683 ## 2108 -14 NY 6.041580447 6.55435449 -6.22902007 12.6803386159 ## 2109 -13 NY 3.527078373 2.88364979 -1.94567216 6.4229687320 ## 2110 -12 NY -0.750899215 3.36940294 -5.99645646 5.0968650231 ## 2111 -11 NY 2.107829135 3.67424291 -4.60100986 6.8000334014 ## 2112 -10 NY 7.363786590 4.88416318 -3.97713244 13.5649324477 ## 2113 -9 NY 14.633678065 9.74297515 -7.48343589 26.6485911890 ## 2114 -8 NY -3.750138848 5.20730658 -9.70366185 5.9909912151 ## 2115 -7 NY -1.745840276 4.87836814 -8.77876633 7.0503726443 ## 2116 -6 NY -4.393209734 9.03782676 -16.60560353 12.0278330063 ## 2117 -5 NY -5.036618382 8.12558684 -15.17778890 9.9295788109 ## 2118 -4 NY 1.263072147 6.47507178 -9.70915951 11.2223443760 ## 2119 -3 NY -1.296133746 9.88278624 -16.52841138 15.2452296638 ## 2120 -2 NY -7.815931348 11.26424094 -21.15023568 13.0059515580 ## 2121 -1 NY -12.604345135 17.50924087 -33.01161437 20.2097009713 ## 2122 0 NY -19.702475333 20.92862087 -40.33340670 19.2521913688 ## 2123 1 NY -19.024850230 19.37062834 -37.20198050 16.9204303071 ## 2124 2 NY -21.305089685 20.85405025 -40.49530352 17.1739654643 ## 2125 3 NY -16.985272577 17.39631231 -33.33283963 15.3298246485 ## 2126 4 NY -13.939595569 14.54007302 -28.23936287 13.0614914757 ## 2127 5 NY -11.147340083 14.67544128 -27.84936207 16.2336994058 ## 2128 6 NY -19.147295734 21.62775070 -41.25660375 21.3504059303 ## 2129 7 NY -18.572749341 18.02984592 -35.24722747 14.6670013789 ## 2130 8 NY -21.324331469 19.64205567 -39.84315055 15.4051429500 ## 2131 9 NY -21.644121977 19.71028275 -40.51077418 15.3748471389 ## 2132 10 NY -12.101098700 11.87199620 -23.74731642 9.8750712014 ## 2133 11 NY -8.414058679 9.90088794 -18.56933878 10.0496297644 ## 2134 12 NY -9.904664882 10.06582906 -19.49108814 8.8044335692 ## 2135 13 NY -13.127403353 14.08318241 -26.89954134 13.2206300393 ## 2136 14 NY -16.063612545 16.04381977 -31.21502625 13.6412195469 ## 2137 15 NY -18.547011776 16.88530531 -34.57390480 13.1639895612 ## 2138 16 NY -20.811386941 20.47640322 -39.83542931 17.0415262149 ## 2139 17 NY -17.079971641 16.65052307 -32.41251852 13.6658924440 ## 2140 18 NY -13.007103760 14.59266489 -27.85760157 14.3040460587 ## 2141 19 NY -8.618049786 7.45167543 -15.90504461 5.3692917157 ## 2142 20 NY 1.597010340 7.11919987 -10.56500025 12.3506162218 ## 2143 21 NY -18.367436222 16.92937366 -34.01521252 12.9658561004 ## 2144 NA NY -15.328995906 15.70467869 -30.19198775 13.8563024132 ## 2145 -44 OH NA NaN NA NA ## 2146 -43 OH NA NaN NA NA ## 2147 -42 OH NA NaN NA NA ## 2148 -41 OH NA NaN NA NA ## 2149 -40 OH NA NaN NA NA ## 2150 -39 OH NA NaN NA NA ## 2151 -38 OH NA NaN NA NA ## 2152 -37 OH NA NaN NA NA ## 2153 -36 OH NA NaN NA NA ## 2154 -35 OH NA NaN NA NA ## 2155 -34 OH NA NaN NA NA ## 2156 -33 OH NA NaN NA NA ## 2157 -32 OH NA NaN NA NA ## 2158 -31 OH NA NaN NA NA ## 2159 -30 OH NA NaN NA NA ## 2160 -29 OH -2.320790159 2.67991228 -5.16730437 2.7490144254 ## 2161 -28 OH -1.878421400 3.01725193 -5.83701473 3.8809617698 ## 2162 -27 OH -7.703235032 6.36452536 -14.62387356 5.3952719407 ## 2163 -26 OH -5.593012283 4.83207766 -10.76682041 4.2898782193 ## 2164 -25 OH -3.292932566 2.51885574 -6.33905544 2.4962761121 ## 2165 -24 OH -4.338990905 3.34118069 -8.06913649 2.8709538767 ## 2166 -23 OH -3.792257397 2.82379937 -7.17481547 2.6316289318 ## 2167 -22 OH -3.915426560 3.80266568 -7.53738521 3.2677419346 ## 2168 -21 OH -1.508501538 1.56128813 -3.35369236 1.4790584948 ## 2169 -20 OH -0.038413978 2.99576559 -4.87229147 4.8242732998 ## 2170 -19 OH 1.514889496 7.26061415 -11.18137892 12.6023577581 ## 2171 -18 OH -0.040329963 3.75539027 -6.36319383 6.3127803647 ## 2172 -17 OH 2.781580358 6.17874632 -8.59843438 11.2075800751 ## 2173 -16 OH 2.688723348 5.49981952 -7.44853513 9.9705806047 ## 2174 -15 OH 5.327292160 6.40878341 -6.31862573 11.6683587267 ## 2175 -14 OH 2.108527922 2.21482435 -2.03642582 4.3431832999 ## 2176 -13 OH 0.055523593 3.58441367 -6.08667577 6.1473472562 ## 2177 -12 OH 0.118905229 2.09375516 -3.36073353 3.4722672658 ## 2178 -11 OH 5.192793681 4.22990992 -3.16801451 9.4563129227 ## 2179 -10 OH 4.940664396 5.28973609 -4.95919860 10.1074289695 ## 2180 -9 OH -3.769254823 4.79330964 -8.72504335 4.9898879728 ## 2181 -8 OH 2.792866179 2.11894255 -1.56994437 5.0859359491 ## 2182 -7 OH 1.128908489 4.13507636 -6.20941857 7.4150496165 ## 2183 -6 OH 0.847859756 2.71419885 -4.01006067 4.9253086327 ## 2184 -5 OH 10.252755344 7.31782587 -7.02721161 19.3101809264 ## 2185 -4 OH 4.915068289 5.91451775 -6.27653439 11.3980924942 ## 2186 -3 OH -3.278956960 6.55802293 -11.89092401 8.6380100779 ## 2187 -2 OH -2.821734453 8.50051414 -15.18500987 12.5382006096 ## 2188 -1 OH -0.374100223 2.27854269 -4.07538215 3.6665977952 ## 2189 0 OH -9.915959751 10.64911136 -19.60435074 9.1393730018 ## 2190 1 OH -10.420037527 10.13114676 -19.51997787 7.8160026738 ## 2191 2 OH -6.064658719 6.22203823 -12.07695651 5.4851588807 ## 2192 3 OH -6.329912022 7.04756042 -13.20831598 6.6124724680 ## 2193 4 OH -7.783519077 11.63262605 -21.50384308 13.4899227510 ## 2194 5 OH -10.932200569 13.08917259 -24.61782007 13.2263362133 ## 2195 6 OH -4.939750314 4.70964491 -9.25238383 3.5020875291 ## 2196 7 OH -7.827514335 6.46035628 -14.25426044 4.8800442152 ## 2197 8 OH -8.051748765 6.22313774 -14.66260078 4.5977715270 ## 2198 9 OH 0.335915915 1.98374060 -3.36877053 3.6838630059 ## 2199 10 OH 2.588151146 2.03068204 -2.12369688 5.0897572224 ## 2200 11 OH -2.576431983 2.84010918 -5.18068910 2.5302158671 ## 2201 12 OH -7.230373775 7.80490649 -14.59635966 7.0622250407 ## 2202 13 OH -3.941969690 3.87768838 -7.53449635 3.2219279761 ## 2203 14 OH -10.460012594 8.96224322 -19.04815846 6.5105972743 ## 2204 15 OH -8.025252034 7.87114486 -15.03343894 6.1791921341 ## 2205 16 OH -3.405663301 2.85839209 -6.20186752 1.9147089686 ## 2206 17 OH -3.642467249 5.20447933 -9.82886908 6.0333743114 ## 2207 18 OH -2.343067566 1.50878032 -4.26683239 1.1977390533 ## 2208 19 OH 5.368179753 5.43256749 -4.90110885 10.5606573452 ## 2209 20 OH -6.115983347 4.34476557 -11.13748318 2.3928863036 ## 2210 21 OH -3.700038122 2.20127904 -6.73793736 1.1519149165 ## 2211 NA OH -5.246105178 5.34412079 -10.18138744 4.5778088545 ## 2212 -44 OR NA NaN NA NA ## 2213 -43 OR NA NaN NA NA ## 2214 -42 OR NA NaN NA NA ## 2215 -41 OR NA NaN NA NA ## 2216 -40 OR NA NaN NA NA ## 2217 -39 OR NA NaN NA NA ## 2218 -38 OR NA NaN NA NA ## 2219 -37 OR NA NaN NA NA ## 2220 -36 OR NA NaN NA NA ## 2221 -35 OR NA NaN NA NA ## 2222 -34 OR NA NaN NA NA ## 2223 -33 OR NA NaN NA NA ## 2224 -32 OR NA NaN NA NA ## 2225 -31 OR NA NaN NA NA ## 2226 -30 OR NA NaN NA NA ## 2227 -29 OR NA NaN NA NA ## 2228 -28 OR -1.335827675 2.18553381 -5.21737112 3.6864928199 ## 2229 -27 OR -0.548915119 3.19056458 -6.85403727 6.2249727057 ## 2230 -26 OR -4.547638862 3.53609159 -9.94349849 2.8548443893 ## 2231 -25 OR -2.775660920 2.79840135 -7.67060997 2.8529101089 ## 2232 -24 OR -1.307673954 1.39468430 -3.82423576 1.6037457867 ## 2233 -23 OR -4.809534657 3.54120955 -8.82320203 2.4162630011 ## 2234 -22 OR -2.708347770 1.92219411 -5.58310201 1.6486008545 ## 2235 -21 OR -5.778713988 3.49903979 -10.52329956 2.4249144223 ## 2236 -20 OR -4.689137271 2.86950325 -8.29528966 1.1779122248 ## 2237 -19 OR -5.560445027 4.01980421 -9.99953322 2.6061973084 ## 2238 -18 OR -3.531455839 2.68449622 -7.19312097 2.0474579498 ## 2239 -17 OR -3.030197107 1.99843168 -6.07655997 1.2576002246 ## 2240 -16 OR -2.003563284 2.28087333 -5.79169889 3.1830198002 ## 2241 -15 OR -0.068283294 2.57374652 -5.57859497 5.4897778514 ## 2242 -14 OR 2.069664807 2.66703702 -2.99262481 5.2391461546 ## 2243 -13 OR 2.064628927 2.64831778 -3.11135054 5.8553579045 ## 2244 -12 OR -3.208999675 3.02217648 -8.08026008 3.8485982964 ## 2245 -11 OR -4.800539548 3.94664742 -8.74199948 2.8311369691 ## 2246 -10 OR 0.846903073 3.60398626 -5.84322007 6.9458512946 ## 2247 -9 OR 3.097963467 3.41144558 -3.46892414 6.9913641582 ## 2248 -8 OR -4.010335941 6.09941408 -10.56278945 7.4542496454 ## 2249 -7 OR 3.555600617 1.83166119 -0.53532970 6.2900137006 ## 2250 -6 OR 3.605865653 2.26757273 -1.22904605 6.3789345506 ## 2251 -5 OR 1.553624610 1.71683463 -2.26068601 4.1219544249 ## 2252 -4 OR 10.524139200 8.57722323 -7.86946228 20.8521273488 ## 2253 -3 OR 11.334188267 8.28749287 -7.23910606 21.0857463915 ## 2254 -2 OR 9.380129046 6.66732564 -3.89740499 16.6001449115 ## 2255 -1 OR 6.682562268 3.42446976 -0.54911902 11.8217453932 ## 2256 0 OR -1.427414521 2.38942470 -5.11606825 3.6286860918 ## 2257 1 OR -5.503137533 6.37763495 -11.65122049 6.0991222262 ## 2258 2 OR -9.041789087 8.04121144 -17.08091471 6.3649218981 ## 2259 3 OR -6.868079083 6.24536365 -13.78139827 6.0614410813 ## 2260 4 OR -3.063261619 2.96068658 -6.75210889 3.3605928688 ## 2261 5 OR -0.356589399 3.35611858 -5.58421859 5.4185283257 ## 2262 6 OR -8.865862368 9.75736365 -19.97379870 10.1899627491 ## 2263 7 OR -4.543890517 4.48189120 -8.80419275 3.7242853146 ## 2264 8 OR -5.895433411 5.48381857 -11.83062687 4.6165108155 ## 2265 9 OR -7.077787622 5.85277849 -14.00489295 4.5993099624 ## 2266 10 OR -0.396357300 3.12015485 -6.41909268 5.9035430563 ## 2267 11 OR 3.756403380 3.29863661 -3.03154814 8.3855447899 ## 2268 12 OR -0.581560928 1.65878366 -2.90764558 2.5967473941 ## 2269 13 OR -4.536988404 5.19669604 -10.68534604 5.7218221310 ## 2270 14 OR -4.357361262 3.93440770 -8.75184804 3.9336686227 ## 2271 15 OR -3.214067909 2.48088294 -6.86896193 1.9421441723 ## 2272 16 OR -2.978499079 3.20039600 -6.70465531 3.1886694419 ## 2273 17 OR -1.463025315 1.60659069 -3.91021322 2.0939390367 ## 2274 18 OR 1.270990224 1.42228720 -1.47259187 3.9253120977 ## 2275 19 OR 5.063095422 6.21026894 -6.50721187 11.5197282519 ## 2276 20 OR 10.172301265 7.90438114 -7.28213492 19.6689513623 ## 2277 21 OR -3.257261685 3.44123217 -7.18466901 3.2716312300 ## 2278 NA OR -2.416617125 2.61322789 -5.82137277 3.3000876757 ## 2279 -44 PA NA NaN NA NA ## 2280 -43 PA NA NaN NA NA ## 2281 -42 PA NA NaN NA NA ## 2282 -41 PA NA NaN NA NA ## 2283 -40 PA NA NaN NA NA ## 2284 -39 PA NA NaN NA NA ## 2285 -38 PA 4.407659834 5.16350103 -5.00537811 9.3690039836 ## 2286 -37 PA 1.682144448 6.26419576 -9.59589847 11.5236578801 ## 2287 -36 PA 0.762465272 1.51705125 -2.52798933 3.4800898852 ## 2288 -35 PA 1.022039374 0.67259590 -0.37201435 1.8611819953 ## 2289 -34 PA 3.015640210 3.38380988 -3.42094732 6.7880986317 ## 2290 -33 PA -0.029179955 1.33534639 -2.47778100 2.4503725080 ## 2291 -32 PA 2.102289171 2.32182364 -2.17224650 4.3628554630 ## 2292 -31 PA 4.166211948 4.18772169 -3.42002908 8.1508619323 ## 2293 -30 PA 1.736501306 4.01755459 -5.63338016 7.2622301160 ## 2294 -29 PA 3.395857034 4.70474832 -5.32486521 9.0089905107 ## 2295 -28 PA 7.532285556 8.86646996 -8.92051241 16.6831113867 ## 2296 -27 PA 5.537430412 7.32960368 -7.98349988 14.0415189485 ## 2297 -26 PA 7.172545012 9.24931688 -9.93063168 17.7774886160 ## 2298 -25 PA 4.036024908 7.92816216 -10.77785423 15.4024177448 ## 2299 -24 PA 8.408588714 9.27824224 -8.70037098 17.5059103323 ## 2300 -23 PA 5.938299341 6.54041104 -6.00045378 11.9160936869 ## 2301 -22 PA 4.440093404 4.94632008 -4.49881638 9.0104535197 ## 2302 -21 PA 1.703686719 4.70484213 -6.81992354 8.4179920212 ## 2303 -20 PA -3.916462223 4.42568852 -10.80023104 5.9096723268 ## 2304 -19 PA 0.074459418 9.11924241 -15.49734016 15.5671811105 ## 2305 -18 PA -7.690466916 6.74407232 -14.16905198 4.9557446139 ## 2306 -17 PA 1.749291821 2.53443457 -2.92554195 4.9295856210 ## 2307 -16 PA -2.669555062 2.44395200 -5.06407980 2.0047280730 ## 2308 -15 PA 4.144928283 6.07099260 -7.27038349 11.3744344199 ## 2309 -14 PA 4.392427403 6.12299893 -6.88713745 11.9180575415 ## 2310 -13 PA -0.791038846 2.09945182 -4.58441359 3.6778720885 ## 2311 -12 PA -7.826493394 6.77852268 -15.17792598 6.2086464653 ## 2312 -11 PA -10.061356407 9.71494570 -22.61037596 11.0799134336 ## 2313 -10 PA -3.702356675 9.52002828 -17.32764858 13.3532339926 ## 2314 -9 PA -3.615371135 8.95298723 -16.16984392 12.7785983412 ## 2315 -8 PA -4.600337492 11.45700639 -20.53053304 16.2126746437 ## 2316 -7 PA -0.713444275 7.58309694 -12.98896183 12.1713491581 ## 2317 -6 PA -3.163418469 4.65400757 -8.58197300 5.4501593131 ## 2318 -5 PA -9.532188944 10.64630543 -23.10073436 12.1767067692 ## 2319 -4 PA -10.941478440 13.66417830 -25.67453616 14.4684973530 ## 2320 -3 PA -2.352431900 7.21232077 -13.01266662 10.4390744570 ## 2321 -2 PA -2.035892576 8.27820508 -14.41744908 12.4018990891 ## 2322 -1 PA -3.779396882 8.79398472 -15.99591871 12.2542820945 ## 2323 0 PA -1.439928016 1.83064751 -3.95577123 2.3055949167 ## 2324 1 PA -2.008277886 1.50803233 -3.65716634 1.0600376207 ## 2325 2 PA -3.900234737 4.96129070 -9.04743752 5.1861691365 ## 2326 3 PA -5.089182336 6.54589043 -11.75736426 6.9836681934 ## 2327 4 PA -1.071774701 6.58947541 -11.31180787 10.1163258023 ## 2328 5 PA -2.708149344 7.06149531 -12.74285598 10.2025921496 ## 2329 6 PA -5.612652969 10.32123714 -18.76163553 13.4947413532 ## 2330 7 PA -3.396674862 7.10264245 -13.61778471 9.7285902782 ## 2331 8 PA -6.298053748 6.65914312 -12.33778280 5.9315348162 ## 2332 9 PA -3.884729536 4.18588361 -9.78297741 5.3310191382 ## 2333 10 PA -6.645484025 9.45907590 -17.78246612 11.2033743358 ## 2334 11 PA -6.038268928 7.41137623 -14.26965269 7.6637105681 ## 2335 12 PA 1.455169262 2.83337589 -3.75744411 5.2737470620 ## 2336 13 PA 0.141364346 6.33306430 -10.25622568 10.3890106259 ## 2337 14 PA 2.046567087 3.12275126 -3.81972854 6.0587041853 ## 2338 15 PA -3.384958099 4.84754919 -8.82120364 5.6460857294 ## 2339 16 PA -9.800221366 10.16994407 -21.19822854 9.9670282066 ## 2340 17 PA -6.952134638 5.99972656 -14.21656418 6.2493152649 ## 2341 18 PA -1.363468358 3.91001764 -6.96802388 5.6181807789 ## 2342 19 PA -6.108888073 7.76584296 -14.39650295 8.3486458495 ## 2343 20 PA -3.297723519 3.82313127 -6.92681094 3.6620314668 ## 2344 21 PA -4.422155207 5.60958690 -10.79520264 5.9573084201 ## 2345 NA PA -3.626357257 4.58770363 -8.39905567 4.8089272891 ## 2346 -44 RI NA NaN NA NA ## 2347 -43 RI NA NaN NA NA ## 2348 -42 RI NA NaN NA NA ## 2349 -41 RI NA NaN NA NA ## 2350 -40 RI NA NaN NA NA ## 2351 -39 RI NA NaN NA NA ## 2352 -38 RI NA NaN NA NA ## 2353 -37 RI NA NaN NA NA ## 2354 -36 RI NA NaN NA NA ## 2355 -35 RI NA NaN NA NA ## 2356 -34 RI NA NaN NA NA ## 2357 -33 RI 3.110320436 4.68971709 -5.77290857 8.5500912706 ## 2358 -32 RI 0.196886854 6.91585844 -12.31961051 11.4861931072 ## 2359 -31 RI -1.395837029 2.08452734 -5.18103105 3.0647889894 ## 2360 -30 RI 1.078011720 2.11915904 -3.26449823 4.5559722856 ## 2361 -29 RI 0.550636661 2.17291315 -3.56206852 3.6079464443 ## 2362 -28 RI 6.103898301 8.00185090 -8.96488537 14.2202375434 ## 2363 -27 RI 1.299913416 1.93889675 -2.64334861 4.2006655241 ## 2364 -26 RI 2.739664374 3.57557872 -4.23207315 7.5142355984 ## 2365 -25 RI 1.111695312 3.49536743 -5.41901063 5.9060552312 ## 2366 -24 RI 2.188076511 4.00154245 -5.43046552 6.9670622379 ## 2367 -23 RI 5.664521801 6.98370389 -7.55058136 13.2335012753 ## 2368 -22 RI 3.551117027 5.51229363 -6.77942974 10.4613153204 ## 2369 -21 RI 4.144295899 6.01890930 -7.32884981 12.1074792072 ## 2370 -20 RI 4.919928658 9.04211294 -11.68781100 17.0599363193 ## 2371 -19 RI 9.673666072 10.08911035 -8.91555674 19.1857105698 ## 2372 -18 RI 5.959940970 5.46717354 -4.09022689 11.1632485837 ## 2373 -17 RI 0.374075655 1.08817301 -1.86003784 2.3081860175 ## 2374 -16 RI 0.658473767 0.85050243 -0.93926611 1.6602182375 ## 2375 -15 RI 1.712331161 3.50048707 -5.14459201 7.1069484145 ## 2376 -14 RI -0.523688594 7.46927269 -12.83869208 12.4025079563 ## 2377 -13 RI -9.380673936 7.42942412 -19.10088424 7.1326789989 ## 2378 -12 RI 0.763624824 0.98735483 -1.07032200 2.6077467037 ## 2379 -11 RI -3.968021084 5.48757133 -9.64360840 6.4419300904 ## 2380 -10 RI 4.197703583 7.41904278 -9.46845484 14.7150666546 ## 2381 -9 RI -2.471025527 4.39824944 -7.68871461 5.9479608847 ## 2382 -8 RI 0.803717732 3.03205478 -4.76065812 6.3451786682 ## 2383 -7 RI -7.715066438 7.28517731 -16.39529666 6.8044892458 ## 2384 -6 RI -13.056475127 11.23117045 -25.91550381 9.5946724096 ## 2385 -5 RI -4.645629595 11.62295267 -20.69875937 16.3452657730 ## 2386 -4 RI -5.552112882 11.24908302 -20.35524860 15.0813715043 ## 2387 -3 RI -7.402193344 14.47880701 -26.63360947 18.9835064564 ## 2388 -2 RI -2.184037497 10.30562780 -17.61570018 15.7451217606 ## 2389 -1 RI -2.507739680 4.47861400 -8.19314998 5.7458706001 ## 2390 0 RI -6.582753332 5.20333733 -12.79742473 4.8238834204 ## 2391 1 RI -18.849562137 19.70255682 -37.37822284 17.3223103906 ## 2392 2 RI -4.764901982 10.46960746 -18.89029611 14.2192757885 ## 2393 3 RI -5.362365147 12.36683958 -22.32365961 17.0736670163 ## 2394 4 RI -9.338885575 14.94564195 -27.59871610 18.3504939924 ## 2395 5 RI -4.000039070 6.32354619 -11.71138130 7.9152191049 ## 2396 6 RI -5.724044503 5.38818584 -12.05825268 4.9030935400 ## 2397 7 RI -9.257115454 9.99621462 -18.79515383 9.1720174140 ## 2398 8 RI -9.766864883 11.45682636 -20.99719743 11.5743403852 ## 2399 9 RI -4.706413169 10.84671821 -19.42600464 14.9445374008 ## 2400 10 RI -5.829434586 10.36814051 -19.03210460 13.2597045625 ## 2401 11 RI -9.999116709 14.94159196 -27.54431412 17.8058741437 ## 2402 12 RI -7.623885606 12.57612969 -22.96764870 15.7068414656 ## 2403 13 RI -5.278825553 6.63936481 -11.99634890 7.1802740769 ## 2404 14 RI -7.024701728 4.66791423 -13.03303596 3.8899013030 ## 2405 15 RI -10.394123190 9.39472217 -20.36745268 7.8341795493 ## 2406 16 RI -11.161956325 13.19364929 -24.73059684 13.2671895208 ## 2407 17 RI -1.788641082 5.77387567 -10.45688269 8.4070756834 ## 2408 18 RI -3.018121102 9.74130750 -17.15183305 13.9938339563 ## 2409 19 RI 2.169238171 4.25030590 -6.23485290 8.8816674211 ## 2410 20 RI -3.937978056 5.36569274 -9.83030539 6.1364508223 ## 2411 21 RI -21.091048648 19.50875016 -39.50452475 14.8910027392 ## 2412 NA RI -7.424160894 9.30632294 -17.13103725 9.9526195569 ## 2413 -44 SC -1.231575053 7.72470104 -13.06162669 11.7783130939 ## 2414 -43 SC 1.389609406 5.77295801 -8.60717098 10.0551645933 ## 2415 -42 SC 0.848633293 9.55424836 -14.90193300 15.7862218340 ## 2416 -41 SC 4.942649995 4.75227164 -3.82977303 9.2578155640 ## 2417 -40 SC 1.181867577 5.78834105 -8.73565220 9.9671743166 ## 2418 -39 SC -0.010995690 4.82707554 -7.68961142 7.6781553400 ## 2419 -38 SC -1.447447631 3.03638883 -5.54709412 4.0388380805 ## 2420 -37 SC -0.564845127 3.57175572 -6.03686180 5.4482888873 ## 2421 -36 SC -3.188658897 3.44207115 -6.34934904 3.0267292792 ## 2422 -35 SC -2.501696956 3.80404880 -7.08706884 4.4802722407 ## 2423 -34 SC -3.361552119 2.39138902 -6.12591227 2.0943473064 ## 2424 -33 SC 0.753276057 2.95860988 -4.36478816 5.1497113621 ## 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2457 0 SC -7.176043804 7.15896357 -13.76519551 5.5984845340 ## 2458 1 SC -0.898118651 1.95719952 -3.56516677 2.6293173456 ## 2459 2 SC -6.255348109 6.91442806 -12.79230368 6.2741571971 ## 2460 3 SC -1.157417916 4.31189309 -7.53367904 6.3276357581 ## 2461 4 SC -9.024501783 6.43364265 -16.44576143 5.6225240600 ## 2462 5 SC -6.005769259 5.35837475 -10.94459018 4.0540780206 ## 2463 6 SC 4.859737732 4.09262421 -3.03407586 8.8561223185 ## 2464 7 SC -5.242838775 4.97473085 -9.82008474 3.9070307696 ## 2465 8 SC 0.166956072 9.32666789 -14.78243558 14.9564035181 ## 2466 9 SC -0.566875212 0.42693945 -1.03304457 0.3531803532 ## 2467 10 SC -3.062310544 4.76156803 -8.86316875 5.6722062408 ## 2468 11 SC -10.899887326 10.78369098 -20.70528655 8.4986119504 ## 2469 12 SC -6.061186042 4.25907536 -11.04557751 3.7762944995 ## 2470 13 SC 2.662077882 1.90588185 -1.65855251 4.8512267773 ## 2471 14 SC 6.740323871 5.83129045 -4.30555427 12.6249394658 ## 2472 15 SC -9.036288100 6.64642675 -16.46723966 5.6298686050 ## 2473 16 SC 0.800951082 0.77514711 -0.60576857 1.5002196524 ## 2474 17 SC -7.317574981 5.25545453 -13.33515040 4.5590608840 ## 2475 18 SC -10.050643119 7.35876861 -18.31574536 6.2618429131 ## 2476 19 SC 1.464639816 3.71436688 -5.15934341 6.6855156575 ## 2477 20 SC 10.791755355 8.19165869 -6.72357609 19.6663068289 ## 2478 21 SC -6.800273613 4.77977600 -12.39244882 4.2367680244 ## 2479 NA SC -2.821301610 2.16201997 -5.14138730 1.7577530143 ## 2480 -44 TN NA NaN NA NA ## 2481 -43 TN NA NaN NA NA ## 2482 -42 TN NA NaN NA NA ## 2483 -41 TN NA NaN NA NA ## 2484 -40 TN NA NaN NA NA ## 2485 -39 TN NA NaN NA NA ## 2486 -38 TN NA NaN NA NA ## 2487 -37 TN -1.402603984 3.84306787 -7.15172802 5.4498921732 ## 2488 -36 TN 1.227786992 2.69171748 -3.83248466 5.6632665878 ## 2489 -35 TN -2.359888012 7.46095219 -12.79797129 11.5293845872 ## 2490 -34 TN -1.715508487 4.71164704 -8.23502987 6.8274295744 ## 2491 -33 TN -2.889944592 5.51883424 -10.22080791 7.2919814016 ## 2492 -32 TN -2.307259246 4.21233563 -8.27030520 5.6261542049 ## 2493 -31 TN -3.021713171 3.56082080 -6.79644534 3.6477852120 ## 2494 -30 TN -3.286205986 4.38681229 -8.29640854 4.8927981507 ## 2495 -29 TN -4.624691893 3.96242636 -8.62483664 3.0048776398 ## 2496 -28 TN -0.152677760 0.86299818 -1.84137092 1.6664017266 ## 2497 -27 TN 1.840799934 3.09805331 -4.03500599 5.6742502128 ## 2498 -26 TN 1.170865290 2.42112567 -3.72915709 4.8883249350 ## 2499 -25 TN 3.137879155 4.49368615 -5.46159726 8.4309055025 ## 2500 -24 TN 2.906198180 3.84325881 -4.78869893 8.4308311044 ## 2501 -23 TN 5.369630091 6.58782208 -7.02397669 12.0607980976 ## 2502 -22 TN 0.426611971 1.95304271 -3.13407040 3.3145439047 ## 2503 -21 TN -0.768045369 1.27652623 -2.76002396 1.8005177401 ## 2504 -20 TN -4.338829902 3.50350839 -9.12450508 3.7020399878 ## 2505 -19 TN -0.424670091 7.17592203 -14.07067101 11.7869606913 ## 2506 -18 TN 4.109465853 10.06357060 -15.36115395 16.7823925708 ## 2507 -17 TN -2.845567697 4.20988912 -10.11569312 6.7085885228 ## 2508 -16 TN 1.097328425 5.20688113 -8.26486849 9.4653588050 ## 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2525 1 TN 1.315876636 3.52752165 -5.44957374 6.9575857253 ## 2526 2 TN -1.038304979 1.99424489 -4.35264406 2.9951168182 ## 2527 3 TN -0.584144306 4.02072505 -7.13359527 6.7960809643 ## 2528 4 TN -4.409581871 6.16921227 -10.94978519 7.2702973121 ## 2529 5 TN -0.618751687 3.42306539 -6.28076461 5.6681955843 ## 2530 6 TN -2.457748285 4.96169449 -8.48181280 7.0706351104 ## 2531 7 TN -6.944080769 9.20319315 -16.65095437 10.3333229325 ## 2532 8 TN -1.382655736 3.24409735 -6.54031587 5.1714734294 ## 2533 9 TN -5.222693592 5.70360640 -10.51661765 5.4603952514 ## 2534 10 TN -1.366628377 3.12689913 -7.53358803 5.9674113690 ## 2535 11 TN -10.737857782 8.12871285 -22.39687946 6.7634537062 ## 2536 12 TN 0.063824757 0.77326018 -1.43377063 1.2001758801 ## 2537 13 TN 2.389162343 1.41459677 -0.71973499 4.3507698783 ## 2538 14 TN -0.557449873 2.92315354 -5.53963729 4.6568643329 ## 2539 15 TN 1.621035939 5.10065295 -9.06743844 10.9251732293 ## 2540 16 TN 0.473943861 0.87747425 -1.44037787 1.9588778917 ## 2541 17 TN -1.608266678 3.75992661 -7.94394554 6.1008493834 ## 2542 18 TN -8.592928003 8.47405771 -17.12946791 7.2483842377 ## 2543 19 TN 1.167367846 2.01037297 -3.11095737 4.5701865145 ## 2544 20 TN 0.909022420 0.91326461 -1.18061899 2.5264272128 ## 2545 21 TN 2.441685788 2.56938708 -2.34484289 5.3768027936 ## 2546 NA TN -1.691872974 2.47344348 -4.27331644 3.0151533560 ## 2547 -44 TX NA NaN NA NA ## 2548 -43 TX NA NaN NA NA ## 2549 -42 TX NA NaN NA NA ## 2550 -41 TX NA NaN NA NA ## 2551 -40 TX NA NaN NA NA ## 2552 -39 TX NA NaN NA NA ## 2553 -38 TX 0.883700248 3.68700994 -5.60928285 6.3650389942 ## 2554 -37 TX 1.906880428 3.69089071 -5.22783398 7.7106306802 ## 2555 -36 TX 1.456833565 5.82760072 -8.81384038 10.6838898143 ## 2556 -35 TX -0.276847544 4.65141602 -7.58562440 7.3652130740 ## 2557 -34 TX -1.318601053 5.03131076 -9.11910908 7.5394031145 ## 2558 -33 TX -3.169805841 5.37010175 -10.71456487 6.9675060084 ## 2559 -32 TX -1.525697301 2.61403103 -4.88234458 3.2965793544 ## 2560 -31 TX 0.773566771 1.72913519 -2.36760395 3.2741444195 ## 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2609 18 TX -2.117445377 2.38007501 -6.07819420 3.3400445295 ## 2610 19 TX -2.014004347 3.59931362 -6.64546557 4.9056396310 ## 2611 20 TX -1.054711745 6.15684702 -10.40268341 9.4681514260 ## 2612 21 TX -4.261476044 3.48825781 -9.11983288 3.5713099945 ## 2613 NA TX -5.370043589 5.70450341 -10.87084290 5.2279334764 ## 2614 -44 VA NA NaN NA NA ## 2615 -43 VA NA NaN NA NA ## 2616 -42 VA NA NaN NA NA ## 2617 -41 VA NA NaN NA NA ## 2618 -40 VA NA NaN NA NA ## 2619 -39 VA NA NaN NA NA ## 2620 -38 VA NA NaN NA NA ## 2621 -37 VA NA NaN NA NA ## 2622 -36 VA NA NaN NA NA ## 2623 -35 VA 0.432160161 0.90821057 -1.24942906 1.6547967547 ## 2624 -34 VA -0.415549986 3.63693465 -6.60835132 6.2617768110 ## 2625 -33 VA -1.357072204 3.80466563 -7.15567296 5.8827282516 ## 2626 -32 VA 1.541846254 0.91092698 -0.42458931 2.8077730265 ## 2627 -31 VA 0.856173060 0.80005306 -1.05708250 2.0827921401 ## 2628 -30 VA -1.873815533 1.98137170 -4.63542824 2.3905640429 ## 2629 -29 VA 1.389442834 1.41579778 -1.55296089 3.2175379752 ## 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2902 -24 WV -1.478155917 1.75152314 -3.89535323 2.1505368373 ## 2903 -23 WV -1.773648599 1.76249080 -4.19875284 1.9907922706 ## 2904 -22 WV -2.062351390 0.99729553 -3.60847385 0.1053528314 ## 2905 -21 WV -2.413857478 2.14032959 -4.96516602 1.7823894467 ## 2906 -20 WV 1.963885784 3.14076717 -4.17491420 5.9543131088 ## 2907 -19 WV -2.232427337 1.60260888 -5.10096298 1.0400879955 ## 2908 -18 WV -0.298489998 1.82150003 -3.78282470 3.3472715305 ## 2909 -17 WV 0.325438659 2.70153547 -5.30188677 5.5598145051 ## 2910 -16 WV 4.546617332 4.43995016 -3.84216264 8.8595780335 ## 2911 -15 WV -0.869706096 0.78078452 -1.96652205 0.9073996635 ## 2912 -14 WV 1.264220769 1.16722052 -1.42796617 3.1446421737 ## 2913 -13 WV 2.050367241 4.73407395 -6.75261562 8.8661164564 ## 2914 -12 WV 1.709462767 6.48368760 -10.31795381 12.7971072065 ## 2915 -11 WV 4.814335609 8.23572788 -10.93774107 15.9543344798 ## 2916 -10 WV -1.510536434 3.23641270 -5.76067808 4.5627790030 ## 2917 -9 WV 2.448993195 2.17650250 -1.92565719 5.6812512712 ## 2918 -8 WV 0.759493263 0.66470155 -0.79853284 1.7839457452 ## 2919 -7 WV 4.639128364 3.36788998 -2.32307013 8.6646782902 ## 2920 -6 WV 11.532770949 12.45417960 -12.17199330 24.8968009962 ## 2921 -5 WV 4.250343701 3.95628704 -3.80089463 10.0828249475 ## 2922 -4 WV -1.086439128 2.11456100 -4.52570489 3.3371227415 ## 2923 -3 WV -3.903688848 7.29243032 -14.80548087 10.1304242359 ## 2924 -2 WV -0.021257396 3.73556443 -6.55928855 6.6432642513 ## 2925 -1 WV -1.502347286 5.23461223 -9.61558122 8.2550963623 ## 2926 0 WV -6.732222464 9.72955503 -19.37998517 11.9008327432 ## 2927 1 WV -0.546257854 3.85571245 -7.60052517 6.6429559161 ## 2928 2 WV -2.608862156 3.48660958 -7.33199550 4.5458177016 ## 2929 3 WV 2.860712619 3.42766606 -3.72040316 7.0225357093 ## 2930 4 WV -4.033180214 7.13129707 -14.62023059 10.4047254908 ## 2931 5 WV 0.290216859 2.87359672 -4.72664220 4.8705256276 ## 2932 6 WV -1.660975823 4.90496913 -9.22458155 7.0959138653 ## 2933 7 WV -3.345778038 5.41081014 -11.28985309 7.2192052397 ## 2934 8 WV 0.821116099 4.18987200 -7.64056407 8.7940039638 ## 2935 9 WV 1.958869805 2.67889059 -3.18871329 5.3134368203 ## 2936 10 WV 3.614393073 2.07818131 -1.27447455 6.3940194045 ## 2937 11 WV -1.996576799 3.42105556 -7.22266181 5.1792319337 ## 2938 12 WV -1.478075710 4.08415591 -8.13463921 6.4356563581 ## 2939 13 WV -2.769909643 5.04056214 -10.34851505 7.0301178390 ## 2940 14 WV -5.221477528 7.96635145 -15.32438792 9.8517186852 ## 2941 15 WV -0.193816655 2.43396246 -4.87485062 3.6478143822 ## 2942 16 WV -3.369422671 3.74215493 -7.51147475 3.8959410338 ## 2943 17 WV 1.409892336 2.94718070 -5.26999592 6.6111967932 ## 2944 18 WV -2.232346626 4.87674675 -9.95389604 7.2094709837 ## 2945 19 WV -4.252721551 3.71807374 -9.74743304 4.4093822236 ## 2946 20 WV 0.071498699 2.31188258 -3.98390052 4.0807118475 ## 2947 21 WV 1.033425357 3.21967830 -4.76408393 6.0358289112 ## 2948 NA WV -1.290068131 2.65109835 -5.93952942 4.5424098026 ``` --- # PPSCM Application Plotting the Average ATT event study: ```r plot(sum_ppscm, levels = "Average") ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-22-1.png" width="75%" style="display: block; margin: auto;" /> --- # PPSCM Application Or the event study for just CA relative to its synthetic control: ```r plot(sum_ppscm, levels = "CA") ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-23-1.png" width="75%" style="display: block; margin: auto;" /> --- # PPSCM Application Or a subset (say, OR and WA): ```r plot(sum_ppscm, levels = c("OR", "WA")) ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-24-1.png" width="75%" style="display: block; margin: auto;" /> --- # PPSCM Application Or every ATT all at once: ```r plot(sum_ppscm) ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-25-1.png" width="75%" style="display: block; margin: auto;" /> --- # PPSCM Application Looking at the weights: * `\(N \times N_{tr}\)` matrix (51 states + DC by 43 SAH adopters) ```r sah_ppscm$weights ``` ``` ## [,1] [,2] [,3] [,4] [,5] ## AK 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AR -1.584198e-07 -1.957248e-07 -1.784517e-07 5.358271e-02 -1.606645e-07 ## AZ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DE 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## FL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## GA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## HI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IA -3.209071e-08 -1.206382e-08 4.242161e-02 2.790426e-08 -7.483020e-08 ## ID 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## LA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MD 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ME 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ND -3.647051e-08 -1.661421e-07 -5.726401e-08 2.842688e-01 -3.510794e-08 ## NE -5.096455e-08 -2.846363e-07 -1.110837e-07 6.621485e-01 1.922220e-01 ## NH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NJ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NM 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OK -9.131559e-08 1.000001e+00 2.547774e-01 1.423027e-08 -1.483762e-07 ## OR 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## PA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## RI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SD -9.114748e-08 -2.059756e-07 -1.132404e-07 -5.167000e-08 -6.120759e-08 ## TN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## TX 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## UT 1.000001e+00 -7.925405e-08 7.028016e-01 5.329540e-08 8.077786e-01 ## VA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## VT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WY -1.585420e-07 -1.241673e-07 -1.442130e-07 3.382380e-08 -1.170541e-07 ## [,6] [,7] [,8] [,9] [,10] ## AK 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AR -1.600864e-07 -2.729916e-07 -8.679149e-08 -1.542402e-07 -1.229416e-07 ## AZ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DE 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## FL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## GA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## HI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IA -1.240058e-07 -3.905659e-08 -6.112527e-08 6.413916e-02 8.384016e-02 ## ID 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## LA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MD 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ME 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ND 2.577084e-08 8.826607e-02 8.491184e-03 1.068414e-07 8.552912e-02 ## NE 1.000001e+00 -7.263605e-08 7.965156e-01 -5.120088e-08 -9.063802e-08 ## NH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NJ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NM 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OK -2.447411e-07 -1.293400e-07 -1.170516e-07 4.400767e-01 5.960132e-01 ## OR 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## PA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## RI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SD 4.518961e-08 -8.018540e-08 -1.430481e-08 -3.701530e-08 2.559634e-08 ## TN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## TX 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## UT -5.808345e-08 9.117347e-01 1.949935e-01 4.957844e-01 2.346178e-01 ## VA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## VT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WY -1.378772e-07 -1.927217e-07 -7.057892e-08 -1.879336e-07 -4.455986e-08 ## [,11] [,12] [,13] [,14] [,15] ## AK 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AR 2.446764e-08 2.670661e-07 4.845900e-02 3.100294e-01 -1.366888e-07 ## AZ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DE 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## FL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## GA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## HI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IA 3.402149e-01 1.458756e-07 7.121007e-08 1.466316e-01 5.814000e-01 ## ID 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## LA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MD 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ME 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ND -5.029120e-07 5.762868e-01 1.831306e-01 4.941090e-09 -1.921921e-07 ## NE -2.500470e-07 1.261835e-01 7.684104e-01 5.433391e-01 -2.068261e-07 ## NH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NJ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NM 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OK 6.597859e-01 4.164757e-07 4.888235e-08 2.570278e-08 1.497217e-01 ## OR 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## PA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## RI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SD -2.038016e-07 1.728291e-02 -4.352798e-08 -4.548105e-08 -1.979676e-07 ## TN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## TX 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## UT -1.927644e-08 2.802453e-01 -8.436285e-09 -1.621449e-09 2.688791e-01 ## VA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## VT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WY 7.045668e-08 5.909219e-07 -2.769526e-09 -8.386997e-08 -5.969438e-08 ## [,16] [,17] [,18] [,19] [,20] ## AK 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AR -5.918700e-08 -8.679207e-08 -1.323604e-07 -1.309184e-07 -2.589916e-07 ## AZ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DE 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## FL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## GA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## HI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IA 4.359548e-02 -6.112539e-08 -1.271386e-07 4.273993e-01 1.293098e-01 ## ID 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## LA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MD 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ME 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ND 5.432364e-08 1.522199e-02 1.061880e-01 -3.546152e-08 4.898706e-02 ## NE 3.534371e-01 8.032816e-01 8.938127e-01 -7.698910e-08 -1.133833e-07 ## NH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NJ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NM 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OK 7.501598e-02 -1.170513e-07 -2.206209e-07 1.871605e-08 -4.262379e-08 ## OR 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## PA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## RI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SD -1.799328e-08 -1.430491e-08 4.251613e-08 -9.087323e-08 -8.467246e-08 ## TN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## TX 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## UT 5.279516e-01 1.814968e-01 -5.198576e-08 5.726012e-01 8.217038e-01 ## VA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## VT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WY -1.124853e-07 -7.057889e-08 -1.318270e-07 -1.178043e-07 -1.821795e-07 ## [,21] [,22] [,23] [,24] [,25] ## AK 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AR -1.600867e-07 -1.200360e-07 -1.980112e-07 -1.629489e-07 1.704672e-08 ## AZ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DE 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## FL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## GA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## HI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IA -1.240060e-07 -4.430519e-08 -1.058952e-08 2.109134e-01 7.061774e-02 ## ID 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## LA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MD 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ME 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ND 2.576950e-08 2.710256e-01 -1.341156e-07 -1.337837e-08 4.811601e-01 ## NE 1.000001e+00 1.477155e-01 -2.575170e-07 -1.422999e-07 2.932196e-08 ## NH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NJ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NM 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OK -2.447413e-07 -1.113284e-07 1.000001e+00 7.890872e-01 2.018420e-08 ## OR 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## PA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## RI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SD 4.518785e-08 -2.225658e-08 -1.727158e-07 -1.234824e-07 8.279799e-02 ## TN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## TX 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## UT -5.808408e-08 5.812594e-01 -6.598612e-08 -5.153047e-08 3.654242e-01 ## VA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## VT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WY -1.378773e-07 -1.341410e-07 -1.111610e-07 -1.722829e-07 -8.604202e-08 ## [,26] [,27] [,28] [,29] [,30] ## AK 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AR -1.462298e-07 -1.159468e-07 -2.494056e-07 3.241074e-01 -1.753556e-07 ## AZ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DE 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## FL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## GA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## HI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IA 5.359564e-01 -4.344043e-08 -1.842789e-07 -2.839596e-08 1.175969e-01 ## ID 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## LA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MD 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ME 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ND -4.821618e-08 3.964582e-01 2.405641e-01 -4.044228e-08 -2.682097e-08 ## NE -9.561665e-08 7.236967e-09 7.594369e-01 6.123344e-02 -8.372568e-08 ## NH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NJ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NM 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OK 2.372813e-01 -1.092235e-07 -2.964184e-07 -2.704677e-08 2.317468e-09 ## OR 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## PA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## RI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SD -1.057917e-07 -1.914740e-08 3.033501e-08 5.203645e-09 -9.402951e-08 ## TN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## TX 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## UT 2.267628e-01 6.035422e-01 -1.291294e-07 6.146593e-01 8.824036e-01 ## VA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## VT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WY -1.176400e-07 -1.338119e-07 -1.742483e-07 -5.240314e-08 -1.560192e-07 ## [,31] [,32] [,33] [,34] [,35] ## AK 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AR -1.458973e-07 7.887877e-02 2.900162e-01 -2.383175e-07 -1.200355e-07 ## AZ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DE 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## FL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## GA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## HI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IA -1.387246e-07 -2.716951e-08 6.239446e-08 2.943569e-01 -4.430531e-08 ## ID 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## LA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MD 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ME 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ND 8.025542e-02 -3.981698e-08 1.356359e-01 -2.306933e-08 1.263936e-01 ## NE 9.197454e-01 9.211214e-01 5.743480e-01 -1.413247e-07 1.366353e-01 ## NH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NJ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NM 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OK -2.844210e-07 -2.470567e-08 -1.314534e-08 3.206601e-09 -1.113286e-07 ## OR 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## PA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## RI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SD 2.237278e-08 5.482489e-09 -4.347947e-08 -1.130594e-07 -2.225618e-08 ## TN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## TX 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## UT -1.274218e-07 5.308440e-09 -3.931991e-08 7.056437e-01 7.369715e-01 ## VA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## VT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WY -1.604676e-07 -5.166351e-08 -5.037888e-08 -1.677602e-07 -1.341412e-07 ## [,36] [,37] [,38] [,39] [,40] ## AK 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## AR -1.452861e-07 -1.784517e-07 -2.410069e-07 -1.630471e-07 -2.225763e-07 ## AZ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## CT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## DE 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## FL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## GA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## HI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IA -3.085330e-08 2.797141e-01 3.171507e-02 3.734800e-01 -6.760000e-08 ## ID 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IL 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## IN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## KY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## LA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MD 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ME 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MO 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MS 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## MT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## ND -1.369634e-07 -5.726411e-08 5.064151e-09 -2.996429e-08 2.659394e-01 ## NE -2.531818e-07 -1.110829e-07 -1.196129e-07 -8.500910e-08 2.743638e-01 ## NH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NJ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NM 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## NY 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OH 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## OK 1.000001e+00 4.184271e-01 6.103921e-01 -1.584176e-08 -1.920015e-07 ## OR 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## PA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## RI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SC 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## SD -1.634103e-07 -1.132406e-07 -9.820014e-08 -1.191012e-07 -6.788191e-08 ## TN 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## TX 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## UT -6.088406e-08 3.018595e-01 3.578934e-01 6.265206e-01 4.596975e-01 ## VA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## VT 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WI 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WV 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ## WY -8.656862e-08 -1.442136e-07 -1.811787e-07 -1.503660e-07 -1.310198e-07 ## [,41] [,42] [,43] ## AK 0.000000e+00 0.000000e+00 0.000000e+00 ## AL 0.000000e+00 0.000000e+00 0.000000e+00 ## AR -1.458955e-07 1.067699e-08 1.842831e-01 ## AZ 0.000000e+00 0.000000e+00 0.000000e+00 ## CA 0.000000e+00 0.000000e+00 0.000000e+00 ## CO 0.000000e+00 0.000000e+00 0.000000e+00 ## CT 0.000000e+00 0.000000e+00 0.000000e+00 ## DC 0.000000e+00 0.000000e+00 0.000000e+00 ## DE 0.000000e+00 0.000000e+00 0.000000e+00 ## FL 0.000000e+00 0.000000e+00 0.000000e+00 ## GA 0.000000e+00 0.000000e+00 0.000000e+00 ## HI 0.000000e+00 0.000000e+00 0.000000e+00 ## IA -1.387237e-07 5.021374e-02 3.306475e-01 ## ID 0.000000e+00 0.000000e+00 0.000000e+00 ## IL 0.000000e+00 0.000000e+00 0.000000e+00 ## IN 0.000000e+00 0.000000e+00 0.000000e+00 ## KS 0.000000e+00 0.000000e+00 0.000000e+00 ## KY 0.000000e+00 0.000000e+00 0.000000e+00 ## LA 0.000000e+00 0.000000e+00 0.000000e+00 ## MA 0.000000e+00 0.000000e+00 0.000000e+00 ## MD 0.000000e+00 0.000000e+00 0.000000e+00 ## ME 0.000000e+00 0.000000e+00 0.000000e+00 ## MI 0.000000e+00 0.000000e+00 0.000000e+00 ## MN 0.000000e+00 0.000000e+00 0.000000e+00 ## MO 0.000000e+00 0.000000e+00 0.000000e+00 ## MS 0.000000e+00 0.000000e+00 0.000000e+00 ## MT 0.000000e+00 0.000000e+00 0.000000e+00 ## NC 0.000000e+00 0.000000e+00 0.000000e+00 ## ND 4.650597e-01 8.921020e-02 5.721125e-09 ## NE 5.349412e-01 6.755316e-01 1.371596e-01 ## NH 0.000000e+00 0.000000e+00 0.000000e+00 ## NJ 0.000000e+00 0.000000e+00 0.000000e+00 ## NM 0.000000e+00 0.000000e+00 0.000000e+00 ## NV 0.000000e+00 0.000000e+00 0.000000e+00 ## NY 0.000000e+00 0.000000e+00 0.000000e+00 ## OH 0.000000e+00 0.000000e+00 0.000000e+00 ## OK -2.844193e-07 1.582439e-08 2.637696e-08 ## OR 0.000000e+00 0.000000e+00 0.000000e+00 ## PA 0.000000e+00 0.000000e+00 0.000000e+00 ## RI 0.000000e+00 0.000000e+00 0.000000e+00 ## SC 0.000000e+00 0.000000e+00 0.000000e+00 ## SD 2.237306e-08 -4.545136e-08 -4.485003e-08 ## TN 0.000000e+00 0.000000e+00 0.000000e+00 ## TX 0.000000e+00 0.000000e+00 0.000000e+00 ## UT -1.274214e-07 1.850445e-01 3.479099e-01 ## VA 0.000000e+00 0.000000e+00 0.000000e+00 ## VT 0.000000e+00 0.000000e+00 0.000000e+00 ## WA 0.000000e+00 0.000000e+00 0.000000e+00 ## WI 0.000000e+00 0.000000e+00 0.000000e+00 ## WV 0.000000e+00 0.000000e+00 0.000000e+00 ## WY -1.604668e-07 -7.759783e-08 -8.390047e-08 ``` --- # PPSCM Application What is CA (first adopter)'s synthetic control? ```r ca_wts <- sah_ppscm$weights %>% as.data.frame() %>% select(V1) ca_wts <- mutate(ca_wts, state = rownames(ca_wts)) %>% rename(weight = V1) %>% filter(weight != 0) ca_wts ``` ``` ## weight state ## AR -1.584198e-07 AR ## IA -3.209071e-08 IA ## ND -3.647051e-08 ND ## NE -5.096455e-08 NE ## OK -9.131559e-08 OK ## SD -9.114748e-08 SD ## UT 1.000001e+00 UT ## WY -1.585420e-07 WY ``` ```r filter(sah, state %in% c("CA", "AR", "IA", "ND", "NE", "OK", "SD", "UT", "WY")) %>% left_join(ca_wts, by = "state") %>% mutate(state_ca = ifelse(state == "CA", "CA", "Synthetic Control"), weight = ifelse(state == "CA", 1, weight)) %>% group_by(state_ca, date) %>% summarise(cadt_group = mean(cadt*weight, na.rm = T), weight = weight) %>% filter(date <= mdy("3-19-2020")) %>% ggplot() + geom_line(aes(x=date, y = cadt_group, linetype = state_ca)) ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-28-1.png" width="80%" style="display: block; margin: auto;" /> --- # PPSCM Application Looking at `\(\nu\)`, we see we're about halfway between separate and pooled SCM: ```r sah_ppscm$nu ``` ``` ## [1] 0.4902127 ``` --- # PPSCM Application By default, the regularization penalty and number of factors for interactive fixed effect is zero. What happens if we turn them on? .font70[ ```r sah_ppscm2 <- multisynth(cadt ~ post_treat, state, date, data = sah, fixedeff = TRUE, lambda = 0.5, n_factors = 2) sum_ppscm2 <- summary(sah_ppscm2) plot(sum_ppscm2, levels = "Average") ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-30-1.png" width="60%" style="display: block; margin: auto;" /> ] --- # PPSCM Application We can also add covariates for * .hi-blue[Weighting:] covariates to weight on * .hi-medgrn[Approx. Matching:] covariates to approximately match on *before* weighting * .hi-purple[Exact Matching:] covariates to exactly match on *before* weighting -- Let's weight on average pre-period values of a few covariates: ```r sah_ppscm3 <- multisynth(cadt ~ post_treat | pct_wfh + pct_pub_trans + pct_retail + pct_ent_fd + poppm2019 + share_dem, state, date, data = sah, fixedeff = TRUE, lambda = 0.5, n_factors = 2) sum_ppscm3 <- summary(sah_ppscm3) ``` --- # PPSCM Application Looking at balance under this specification: ```r plot(sum_ppscm3, levels = "Average") ``` <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-32-1.png" width="65%" style="display: block; margin: auto;" /> --- # PPSCM Application Alternatively, we can approximately match on population and democratic vote share in 2016 election using 3 nearest neighbors: ```r sah_ppscm4 <- multisynth(cadt ~ post_treat | pct_wfh + pct_pub_trans + pct_retail + pct_ent_fd| poppm2019 + share_dem, state, date, data = sah, fixedeff = TRUE, lambda = 0.5, n_factors = 2, k = 3) sum_ppscm4 <- summary(sah_ppscm4) ``` --- # PPSCM Application Plotting the new Average ATTs manually with ggplot(): .font80[ <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-34-1.png" width="70%" style="display: block; margin: auto;" /> ] --- # PPSCM Application Comparing to the standard event study from last lecture: <img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-35-1.png" width="70%" style="display: block; margin: auto;" /> --- # Table of Contents 1. [Prologue](#prologue) 2. [Synthetic Difference-in-Difference](#synthdid) 3. [Partially Pooled SCM](#pool)